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55357076064 = 25317212371613
BaseRepresentation
bin110011100011100010…
…011111001001100000
312021212221002211110110
4303203202133021200
51401332402413224
641233010131320
73666541245213
oct634342371140
9167787084413
1055357076064
1121527698644
12a88ab80b40
1352b2891514
142971dc177a
15168ed31929
hexce389f260

55357076064 has 144 divisors (see below), whose sum is σ = 154583484048. Its totient is φ = 17342128128.

The previous prime is 55357076053. The next prime is 55357076069. The reversal of 55357076064 is 46067075355.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55357076069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34318522 + ... + 34320134.

It is an arithmetic number, because the mean of its divisors is an integer number (1073496417).

Almost surely, 255357076064 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 55357076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77291742024).

55357076064 is an abundant number, since it is smaller than the sum of its proper divisors (99226407984).

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

55357076064 is a wasteful number, since it uses less digits than its factorization.

55357076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 55357076064 in words is "fifty-five billion, three hundred fifty-seven million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1237 1613 1632 1734 2312 2474 3226 3468 3711 4624 4839 4948 6452 6936 7422 9248 9678 9896 12904 13872 14844 19356 19792 21029 25808 27421 27744 29688 38712 39584 42058 51616 54842 59376 63087 77424 82263 84116 109684 118752 126174 154848 164526 168232 219368 252348 329052 336464 357493 438736 466157 504696 658104 672928 714986 877472 932314 1009392 1072479 1316208 1398471 1429972 1864628 1995281 2018784 2144958 2632416 2796942 2859944 3729256 3990562 4289916 5593884 5719888 5985843 7458512 7981124 8579832 11187768 11439776 11971686 14917024 15962248 17159664 22375536 23943372 31924496 33919777 34319328 44751072 47886744 63848992 67839554 95773488 101759331 135679108 191546976 203518662 271358216 407037324 542716432 576636209 814074648 1085432864 1153272418 1628149296 1729908627 2306544836 3256298592 3459817254 4613089672 6919634508 9226179344 13839269016 18452358688 27678538032 55357076064