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5201476332 = 223131721131021
BaseRepresentation
bin1001101100000100…
…00011101011101100
3111102111111101010120
410312002003223230
541123034220312
62220045404540
7242616551013
oct46602035354
914374441116
105201476332
11222a109178
121011b69750
1364b811b60
14374b49a7a
152069a328c
hex136083aec

5201476332 has 144 divisors (see below), whose sum is σ = 14021038752. Its totient is φ = 1491517440.

The previous prime is 5201476331. The next prime is 5201476387. The reversal of 5201476332 is 2336741025.

It is a junction number, because it is equal to n+sod(n) for n = 5201476293 and 5201476302.

It is not an unprimeable number, because it can be changed into a prime (5201476331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5093982 + ... + 5095002.

Almost surely, 25201476332 is an apocalyptic number.

5201476332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201476332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010519376).

5201476332 is an abundant number, since it is smaller than the sum of its proper divisors (8819562420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5201476332 is a wasteful number, since it uses less digits than its factorization.

5201476332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5201476332 is about 72121.2613034464. The cubic root of 5201476332 is about 1732.6421511309.

The spelling of 5201476332 in words is "five billion, two hundred one million, four hundred seventy-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 113 156 204 221 226 289 339 442 452 578 663 678 867 884 1021 1156 1326 1356 1469 1734 1921 2042 2652 2938 3063 3468 3757 3842 4084 4407 5763 5876 6126 7514 7684 8814 11271 11526 12252 13273 15028 17357 17628 22542 23052 24973 26546 32657 34714 39819 45084 49946 52071 53092 65314 69428 74919 79638 97971 99892 104142 115373 130628 149838 159276 195942 208284 225641 230746 295069 299676 346119 391884 424541 451282 461492 590138 676923 692238 849082 885207 902564 1180276 1273623 1353846 1384476 1499849 1698164 1770414 1961341 2547246 2707692 2999698 3540828 3835897 3922682 4499547 5094492 5884023 5999396 7671794 7845364 8999094 11507691 11768046 15343588 17998188 23015382 23536092 25497433 33342797 46030764 50994866 66685594 76492299 100028391 101989732 133371188 152984598 200056782 305969196 400113564 433456361 866912722 1300369083 1733825444 2600738166 5201476332