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20402556372 = 22341119729059
BaseRepresentation
bin10011000000000101…
…100100110111010100
31221122220000020210000
4103000011210313110
5313241023300442
613212305331300
71321410603432
oct230005446724
957586006700
1020402556372
11871a790640
123b54936b30
131c01c02983
14db7953d52
157e6286d4c
hex4c0164dd4

20402556372 has 120 divisors (see below), whose sum is σ = 58482436320. Its totient is φ = 6150997440.

The previous prime is 20402556367. The next prime is 20402556373. The reversal of 20402556372 is 27365520402.

20402556372 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 25 + 563 + 72 = 666.

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 (20402556373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 687579 + ... + 716637.

It is an arithmetic number, because the mean of its divisors is an integer number (487353636).

Almost surely, 220402556372 is an apocalyptic number.

20402556372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402556372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29241218160).

20402556372 is an abundant number, since it is smaller than the sum of its proper divisors (38079879948).

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

20402556372 is a wasteful number, since it uses less digits than its factorization.

20402556372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29283 (or 29272 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20402556372 in words is "twenty billion, four hundred two million, five hundred fifty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 197 198 297 324 394 396 591 594 788 891 1182 1188 1773 1782 2167 2364 3546 3564 4334 5319 6501 7092 8668 10638 13002 15957 19503 21276 26004 29059 31914 39006 58118 58509 63828 78012 87177 116236 117018 174354 175527 234036 261531 319649 348708 351054 523062 639298 702108 784593 958947 1046124 1278596 1569186 1917894 2353779 2876841 3138372 3835788 4707558 5724623 5753682 8630523 9415116 11449246 11507364 17173869 17261046 22898492 25891569 34347738 34522092 51521607 51783138 62970853 68695476 103043214 103566276 125941706 154564821 188912559 206086428 251883412 309129642 377825118 463694463 566737677 618259284 755650236 927388926 1133475354 1700213031 1854777852 2266950708 3400426062 5100639093 6800852124 10201278186 20402556372