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31890614418 = 23213532571409
BaseRepresentation
bin11101101100110101…
…000010100010010010
310001022111211001210100
4131230311002202102
51010302444130133
622352250313230
72206164515145
oct355465024222
9101274731710
1031890614418
1112585469693
126220128816
133012c90960
14178758c05c
15c69ad0e13
hex76cd42892

31890614418 has 48 divisors (see below), whose sum is σ = 75815452440. Its totient is φ = 9627351552.

The previous prime is 31890614341. The next prime is 31890614423. The reversal of 31890614418 is 81441609813.

31890614418 is a `hidden beast` number, since 3 + 18 + 9 + 0 + 614 + 4 + 18 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27861284889 + 4029329529 = 166917^2 + 63477^2 .

It is a super-3 number, since 3×318906144183 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273303 + ... + 1298106.

Almost surely, 231890614418 is an apocalyptic number.

31890614418 is an abundant number, since it is smaller than the sum of its proper divisors (43924838022).

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

31890614418 is a wasteful number, since it uses less digits than its factorization.

31890614418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571483 (or 2571480 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31890614418 in words is "thirty-one billion, eight hundred ninety million, six hundred fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 12402 2571409 5142818 7714227 15428454 23142681 33428317 46285362 66856634 100284951 136284677 200569902 272569354 300854853 408854031 601709706 817708062 1226562093 1771700801 2453124186 3543401602 5315102403 10630204806 15945307209 31890614418