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20749554864 = 243441390499
BaseRepresentation
bin10011010100110001…
…010001010010110000
31222120001221121020000
4103110301101102300
5314443341223424
613310542550000
71333123210023
oct232461212260
958501847200
1020749554864
118888645755
124030b98300
131c58a7791c
14100ba7d1ba
1581697b3c9
hex4d4c514b0

20749554864 has 100 divisors (see below), whose sum is σ = 61520151000. Its totient is φ = 6747805440.

The previous prime is 20749554851. The next prime is 20749554869. The reversal of 20749554864 is 46845594702.

20749554864 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 9 + 554 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20749554864.

It is not an unprimeable number, because it can be changed into a prime (20749554869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142114 + ... + 248385.

It is an arithmetic number, because the mean of its divisors is an integer number (615201510).

Almost surely, 220749554864 is an apocalyptic number.

20749554864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20749554864 is an abundant number, since it is smaller than the sum of its proper divisors (40770596136).

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

20749554864 is a wasteful number, since it uses less digits than its factorization.

20749554864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390560 (or 390545 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

It can be divided in two parts, 20 and 749554864, that added together give a square (749554884 = 273782).

The spelling of 20749554864 in words is "twenty billion, seven hundred forty-nine million, five hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26568 53136 390499 780998 1171497 1561996 2342994 3123992 3514491 4685988 6247984 7028982 9371976 10543473 14057964 16010459 18743952 21086946 28115928 31630419 32020918 42173892 48031377 56231856 63260838 64041836 84347784 96062754 126521676 128083672 144094131 168695568 192125508 253043352 256167344 288188262 384251016 432282393 506086704 576376524 768502032 864564786 1152753048 1296847179 1729129572 2305506096 2593694358 3458259144 5187388716 6916518288 10374777432 20749554864