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5148837432 = 23321072932281
BaseRepresentation
bin1001100101110010…
…10000011000111000
3111021211110001010200
410302321100120320
541021100244212
62210525242200
7241410252564
oct46271203070
914254401120
105148837432
112202425852
12bb8403360
1364094158b
1436bb666a4
152020566dc
hex132e50638

5148837432 has 96 divisors (see below), whose sum is σ = 14129322480. Its totient is φ = 1693693440.

The previous prime is 5148837409. The next prime is 5148837433. The reversal of 5148837432 is 2347388415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148837433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256132 + ... + 2258412.

Almost surely, 25148837432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5148837432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064661240).

5148837432 is an abundant number, since it is smaller than the sum of its proper divisors (8980485048).

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

5148837432 is a wasteful number, since it uses less digits than its factorization.

5148837432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2686 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5148837432 is about 71755.4000197895. The cubic root of 5148837432 is about 1726.7775481401. Note that the first 3 decimals are identical.

The spelling of 5148837432 in words is "five billion, one hundred forty-eight million, eight hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 293 321 428 586 642 856 879 963 1172 1284 1758 1926 2281 2344 2568 2637 3516 3852 4562 5274 6843 7032 7704 9124 10548 13686 18248 20529 21096 27372 31351 41058 54744 62702 82116 94053 125404 164232 188106 244067 250808 282159 376212 488134 564318 668333 732201 752424 976268 1128636 1336666 1464402 1952536 2004999 2196603 2257272 2673332 2928804 4009998 4393206 5346664 5857608 6014997 8019996 8786412 12029994 16039992 17572824 24059988 48119976 71511631 143023262 214534893 286046524 429069786 572093048 643604679 858139572 1287209358 1716279144 2574418716 5148837432