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466042026420 = 223256142444629
BaseRepresentation
bin1101100100000100100…
…01001111100110110100
31122112221021021220211100
412302002101033212310
530113423224321140
6554032522010100
745445645602045
oct6620221174664
91575837256740
10466042026420
1116a713635323
12763a4646930
1334c41a8a299
14187b12848cc
15c1c97d6530
hex6c8244f9b4

466042026420 has 72 divisors (see below), whose sum is σ = 1436835614760. Its totient is φ = 122240528640.

The previous prime is 466042026419. The next prime is 466042026427. The reversal of 466042026420 is 24620240664.

466042026420 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 4 + 2 + 0 + 2 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50465825316 + 415576201104 = 224646^2 + 644652^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466042026427) 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, 21211335 + ... + 21233294.

It is an arithmetic number, because the mean of its divisors is an integer number (19956050205).

Almost surely, 2466042026420 is an apocalyptic number.

It is an amenable number.

466042026420 is an abundant number, since it is smaller than the sum of its proper divisors (970793588340).

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

466042026420 is a wasteful number, since it uses less digits than its factorization.

466042026420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42444705 (or 42444700 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 466042026420 in words is "four hundred sixty-six billion, forty-two million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 42444629 84889258 127333887 169778516 212223145 254667774 382001661 424446290 509335548 636669435 764003322 848892580 1273338870 1528006644 1910008305 2546677740 2589122369 3820016610 5178244738 7640033220 7767367107 10356489476 12945611845 15534734214 23302101321 25891223690 31069468428 38836835535 46604202642 51782447380 77673671070 93208405284 116510506605 155347342140 233021013210 466042026420