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5336220516 = 22311229353359
BaseRepresentation
bin1001111100001000…
…00100001101100100
3111202220001002101220
410332010010031210
541412033024031
62241301420340
7246144061134
oct47604041544
914686032356
105336220516
112299180500
12104b10a6b0
136706cbb43
143889c2ac4
1521371c596
hex13e104364

5336220516 has 144 divisors (see below), whose sum is σ = 14237596800. Its totient is φ = 1552517120.

The previous prime is 5336220499. The next prime is 5336220521. The reversal of 5336220516 is 6150226335.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14863945 + ... + 14864303.

It is an arithmetic number, because the mean of its divisors is an integer number (98872200).

Almost surely, 25336220516 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 5336220516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118798400).

5336220516 is an abundant number, since it is smaller than the sum of its proper divisors (8901376284).

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

5336220516 is a wasteful number, since it uses less digits than its factorization.

5336220516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 5336220516 is about 73049.4388479474. The cubic root of 5336220516 is about 1747.4761458959.

The spelling of 5336220516 in words is "five billion, three hundred thirty-six million, two hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 353 359 363 484 638 706 718 726 957 1059 1077 1276 1412 1436 1452 1914 2118 2154 3509 3828 3883 3949 4236 4308 7018 7766 7898 10237 10411 10527 11649 11847 14036 15532 15796 20474 20822 21054 23298 23694 30711 31233 40948 41644 42108 42713 43439 46596 47388 61422 62466 85426 86878 112607 114521 122844 124932 126727 128139 130317 170852 173756 225214 229042 253454 256278 260634 337821 343563 380181 450428 458084 506908 512556 521268 675642 687126 760362 1238677 1259731 1351284 1374252 1393997 1520724 2477354 2519462 2787994 3675083 3716031 3779193 4181991 4954708 5038924 5575988 7350166 7432062 7558386 8363982 11025249 14700332 14864124 15116772 15333967 16727964 22050498 30667934 40425913 44100996 46001901 61335868 80851826 92003802 121277739 161703652 184007604 242555478 444685043 485110956 889370086 1334055129 1778740172 2668110258 5336220516