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131504762389 = 721113411672741
BaseRepresentation
bin111101001111001001…
…0110110111000010101
3110120102210102002120011
41322132102312320111
54123310204344024
6140225031240221
712333545015500
oct1723622667025
9416383362504
10131504762389
1150853012410
12215a0819071
13c529873690
14651728c137
153649eee094
hex1e9e4b6e15

131504762389 has 96 divisors (see below), whose sum is σ = 185272157952. Its totient is φ = 91695744000.

The previous prime is 131504762351. The next prime is 131504762401. The reversal of 131504762389 is 983267405131.

It is not a de Polignac number, because 131504762389 - 27 = 131504762261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131504702389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47975559 + ... + 47978299.

It is an arithmetic number, because the mean of its divisors is an integer number (1929918312).

It is a 1-persistent number, because it is pandigital, but 2⋅131504762389 = 263009524778 is not.

Almost surely, 2131504762389 is an apocalyptic number.

It is an amenable number.

131504762389 is a deficient number, since it is larger than the sum of its proper divisors (53767395563).

131504762389 is a wasteful number, since it uses less digits than its factorization.

131504762389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 131504762389 in words is "one hundred thirty-one billion, five hundred four million, seven hundred sixty-two thousand, three hundred eighty-nine".

Divisors: 1 7 11 13 41 49 77 91 143 167 287 451 533 539 637 1001 1169 1837 2009 2171 2741 3157 3731 5863 6847 7007 8183 12859 15197 19187 22099 23881 26117 30151 35633 41041 47929 75317 89011 90013 106379 112381 134309 167167 211057 249431 287287 335503 391963 457747 527219 623077 786667 979121 1170169 1236191 1460953 1477399 1746017 2743741 3204229 3690533 4361539 5035217 5506669 5950711 6853847 8653337 10226671 16070483 18767627 19206187 22429603 35246519 41654977 47976929 60573359 65457821 71586697 112493381 131373389 206443897 243979151 246725633 291584839 458204747 787453667 919613723 1445107279 1707854057 2683770661 3207433229 10115750953 11954978399 18786394627 131504762389