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20400242004216 = 23323072131943291
BaseRepresentation
bin1001010001101110011010…
…01011011001000011111000
32200020020120221101222000200
410220313031023121003320
510133214143423113331
6111215424121202200
74203604004643354
oct450671513310370
980206527358020
1020400242004216
11655576a861818
122355853930360
13b4c971ac5229
1450753c618464
152559ccb345e6
hex128dcd2d90f8

20400242004216 has 96 divisors (see below), whose sum is σ = 55434505526400. Its totient is φ = 6777456079680.

The previous prime is 20400242004211. The next prime is 20400242004223. The reversal of 20400242004216 is 61240024200402.

20400242004216 is a `hidden beast` number, since 2 + 0 + 400 + 2 + 4 + 200 + 42 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20400242004216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400242004211) 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, 471213531 + ... + 471256821.

It is an arithmetic number, because the mean of its divisors is an integer number (577442765900).

Almost surely, 220400242004216 is an apocalyptic number.

It is an amenable number.

20400242004216 is an abundant number, since it is smaller than the sum of its proper divisors (35034263522184).

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

20400242004216 is a wasteful number, since it uses less digits than its factorization.

20400242004216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64929 (or 64922 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20400242004216 its reverse (61240024200402), we get a palindrome (81640266204618).

The spelling of 20400242004216 in words is "twenty trillion, four hundred billion, two hundred forty-two million, four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 921 1228 1842 2456 2763 3684 5526 7368 11052 21319 22104 42638 43291 63957 85276 86582 127914 129873 170552 173164 191871 255828 259746 346328 383742 389619 511656 519492 767484 779238 1038984 1534968 1558476 3116952 6544933 13089866 13290337 19634799 26179732 26580674 39269598 39871011 52359464 53161348 58904397 78539196 79742022 106322696 117808794 119613033 157078392 159484044 235617588 239226066 318968088 471235176 478452132 922920829 956904264 1845841658 2768762487 3691683316 5537524974 7383366632 8306287461 11075049948 16612574922 22150099896 33225149844 66450299688 283336694503 566673389006 850010083509 1133346778012 1700020167018 2266693556024 2550030250527 3400040334036 5100060501054 6800080668072 10200121002108 20400242004216