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20057008536 = 2333297940531
BaseRepresentation
bin10010101011011111…
…011010100110011000
31220202210210121021000
4102223133122212120
5312034043233121
613114123145000
71310013521355
oct225337324630
956683717230
1020057008536
118562727414
123a79075160
131b784480b6
14d83ac562c
157c5c7c526
hex4ab7da998

20057008536 has 128 divisors (see below), whose sum is σ = 58366080000. Its totient is φ = 6373261440.

The previous prime is 20057008501. The next prime is 20057008541. The reversal of 20057008536 is 63580075002.

20057008536 is a `hidden beast` number, since 2 + 0 + 0 + 570 + 0 + 85 + 3 + 6 = 666.

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 20057008536.

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 31 ways as a sum of consecutive naturals, for example, 474591 + ... + 515121.

It is an arithmetic number, because the mean of its divisors is an integer number (455985000).

Almost surely, 220057008536 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 20057008536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183040000).

20057008536 is an abundant number, since it is smaller than the sum of its proper divisors (38309071464).

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

20057008536 is a wasteful number, since it uses less digits than its factorization.

20057008536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40654 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 20057008536 in words is "twenty billion, fifty-seven million, eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 79 87 108 116 158 174 216 232 237 261 316 348 474 522 632 696 711 783 948 1044 1422 1566 1896 2088 2133 2291 2844 3132 4266 4582 5688 6264 6873 8532 9164 13746 17064 18328 20619 27492 40531 41238 54984 61857 81062 82476 121593 123714 162124 164952 243186 247428 324248 364779 486372 494856 729558 972744 1094337 1175399 1459116 2188674 2350798 2918232 3201949 3526197 4377348 4701596 6403898 7052394 8754696 9403192 9605847 10578591 12807796 14104788 19211694 21157182 25615592 28209576 28817541 31735773 38423388 42314364 57635082 63471546 76846776 84628728 86452623 92856521 115270164 126943092 172905246 185713042 230540328 253886184 278569563 345810492 371426084 557139126 691620984 742852168 835708689 1114278252 1671417378 2228556504 2507126067 3342834756 5014252134 6685669512 10028504268 20057008536