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20480055471072 = 2532170953237817
BaseRepresentation
bin1001010100000011000100…
…11011100110101111100000
32200111212121021112011122200
410222001202123212233200
510141021123200033242
6111320224012533200
74212430603136511
oct452014233465740
980455537464580
1020480055471072
1165865a744377a
122369209181200
13b573513a95b2
1450b3506b8a08
15257aeea5904c
hex12a0626e6be0

20480055471072 has 144 divisors (see below), whose sum is σ = 58292640085680. Its totient is φ = 6820536231936.

The previous prime is 20480055471037. The next prime is 20480055471079. The reversal of 20480055471072 is 27017455008402.

20480055471072 is a `hidden beast` number, since 2 + 0 + 4 + 80 + 0 + 554 + 7 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20480055471079) 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, 2619934108 + ... + 2619941924.

It is an arithmetic number, because the mean of its divisors is an integer number (404810000595).

Almost surely, 220480055471072 is an apocalyptic number.

It is an amenable number.

20480055471072 is an abundant number, since it is smaller than the sum of its proper divisors (37812584614608).

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

20480055471072 is a wasteful number, since it uses less digits than its factorization.

20480055471072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14865 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 20480055471072 in words is "twenty trillion, four hundred eighty billion, fifty-five million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1709 3418 5127 5323 6836 7817 10254 10646 13672 15381 15634 15969 20508 21292 23451 27344 30762 31268 31938 41016 42584 46902 47907 54688 61524 62536 63876 70353 82032 85168 93804 95814 123048 125072 127752 140706 164064 170336 187608 191628 246096 250144 255504 281412 375216 383256 492192 511008 562824 750432 766512 1125648 1533024 2251296 9097007 13359253 18194014 26718506 27291021 36388028 40077759 41609891 53437012 54582042 72776056 80155518 81873063 83219782 106874024 109164084 120233277 124829673 145552112 160311036 163746126 166439564 213748048 218328168 240466554 249659346 291104224 320622072 327492252 332879128 374489019 427496096 436656336 480933108 499318692 641244144 654984504 665758256 748978038 873312672 961866216 998637384 1282488288 1309969008 1331516512 1497956076 1923732432 1997274768 2619938016 2995912152 3847464864 3994549536 5991824304 11983648608 71111303719 142222607438 213333911157 284445214876 426667822314 568890429752 640001733471 853335644628 1137780859504 1280003466942 1706671289256 2275561719008 2560006933884 3413342578512 5120013867768 6826685157024 10240027735536 20480055471072