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31890761245 = 5741472272083
BaseRepresentation
bin11101101100110101…
…100110011000011101
310001022112002112012101
4131230311212120131
51010303013324440
622352253405101
72206165666210
oct355465463035
9101275075171
1031890761245
1112585559a32
126220199791
133013012735
1417875c9777
15c69b0e69a
hex76cd6661d

31890761245 has 64 divisors (see below), whose sum is σ = 45979508736. Its totient is φ = 20778693120.

The previous prime is 31890761213. The next prime is 31890761257. The reversal of 31890761245 is 54216709813.

It is not a de Polignac number, because 31890761245 - 25 = 31890761213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31890761195 and 31890761204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15308974 + ... + 15311056.

It is an arithmetic number, because the mean of its divisors is an integer number (718429824).

It is a 2-persistent number, because it is pandigital, and so is 2⋅31890761245 = 63781522490, but 3⋅31890761245 = 95672283735 is not.

Almost surely, 231890761245 is an apocalyptic number.

31890761245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31890761245 is the 145810-th pentagonal number.

It is an amenable number.

31890761245 is a deficient number, since it is larger than the sum of its proper divisors (14088747491).

31890761245 is a wasteful number, since it uses less digits than its factorization.

31890761245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 31890761245 in words is "thirty-one billion, eight hundred ninety million, seven hundred sixty-one thousand, two hundred forty-five".

Divisors: 1 5 7 35 41 47 205 227 235 287 329 1135 1435 1589 1645 1927 2083 7945 9307 9635 10415 10669 13489 14581 46535 53345 65149 67445 72905 74683 85403 97901 325745 373415 427015 437429 472841 489505 597821 685307 2187145 2364205 2989105 3062003 3309887 3426535 4013941 15310015 16549435 19386481 20069705 22223527 28097587 96932405 111117635 135705367 140487935 155564689 678526835 777823445 911164607 4555823035 6378152249 31890761245