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20401760376 = 23324711353353
BaseRepresentation
bin10011000000000010…
…100010100001111000
31221122211111210212200
4103000002202201320
5313240322313001
613212240310200
71321401046644
oct230002424170
957584453780
1020401760376
11871a297598
123b54612360
131c019b457a
14db77c7c24
157e617b086
hex4c00a2878

20401760376 has 96 divisors (see below), whose sum is σ = 56930852160. Its totient is φ = 6596868096.

The previous prime is 20401760371. The next prime is 20401760387. The reversal of 20401760376 is 67306710402.

20401760376 is a `hidden beast` number, since 2 + 0 + 40 + 1 + 7 + 603 + 7 + 6 = 666.

It is a super-2 number, since 2×204017603762 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20401760376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401760371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355716 + ... + 409068.

It is an arithmetic number, because the mean of its divisors is an integer number (593029710).

Almost surely, 220401760376 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 20401760376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28465426080).

20401760376 is an abundant number, since it is smaller than the sum of its proper divisors (36529091784).

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

20401760376 is a wasteful number, since it uses less digits than its factorization.

20401760376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53525 (or 53518 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 20401760376 in words is "twenty billion, four hundred one million, seven hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 113 141 188 226 282 339 376 423 452 564 678 846 904 1017 1128 1356 1692 2034 2712 3384 4068 5311 8136 10622 15933 21244 31866 42488 47799 53353 63732 95598 106706 127464 160059 191196 213412 320118 382392 426824 480177 640236 960354 1280472 1920708 2507591 3841416 5015182 6028889 7522773 10030364 12057778 15045546 18086667 20060728 22568319 24115556 30091092 36173334 45136638 48231112 54260001 60182184 72346668 90273276 108520002 144693336 180546552 217040004 283357783 434080008 566715566 850073349 1133431132 1700146698 2266862264 2550220047 3400293396 5100440094 6800586792 10200880188 20401760376