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42553683936 = 253361807409
BaseRepresentation
bin100111101000011001…
…011010111111100000
311001211122021010022000
4213220121122333200
51144122220341221
631314321044000
73034343226321
oct475031327740
9131748233260
1042553683936
1117057499635
1282b7186600
134022159b4a
1420b97d4448
151190cb8e26
hex9e865afe0

42553683936 has 96 divisors (see below), whose sum is σ = 126149738400. Its totient is φ = 13952010240.

The previous prime is 42553683923. The next prime is 42553683983. The reversal of 42553683936 is 63938635524.

42553683936 is a `hidden beast` number, since 4 + 2 + 553 + 6 + 83 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351001 + ... + 456408.

It is an arithmetic number, because the mean of its divisors is an integer number (1314059775).

Almost surely, 242553683936 is an apocalyptic number.

It is an amenable number.

42553683936 is an abundant number, since it is smaller than the sum of its proper divisors (83596054464).

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

42553683936 is a wasteful number, since it uses less digits than its factorization.

42553683936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807489 (or 807475 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 42553683936 in words is "forty-two billion, five hundred fifty-three million, six hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 52704 807409 1614818 2422227 3229636 4844454 6459272 7266681 9688908 12918544 14533362 19377816 21800043 25837088 29066724 38755632 43600086 49251949 58133448 77511264 87200172 98503898 116266896 147755847 174400344 197007796 232533792 295511694 348800688 394015592 443267541 591023388 697601376 788031184 886535082 1182046776 1329802623 1576062368 1773070164 2364093552 2659605246 3546140328 4728187104 5319210492 7092280656 10638420984 14184561312 21276841968 42553683936