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57644034318 = 233133112720857
BaseRepresentation
bin110101101011110110…
…100010100100001110
312111210022102100102000
4311223312202210032
51421023333044233
642251543413130
74110321131043
oct655366424416
9174708370360
1057644034318
11224a0611192
12b208a541a6
13558861b460
142b0ba171ca
1517759c8d13
hexd6bda290e

57644034318 has 128 divisors (see below), whose sum is σ = 143529738240. Its totient is φ = 17028506880.

The previous prime is 57644034293. The next prime is 57644034323. The reversal of 57644034318 is 81343044675.

57644034318 is a `hidden beast` number, since 576 + 4 + 40 + 3 + 4 + 31 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2753346 + ... + 2774202.

It is an arithmetic number, because the mean of its divisors is an integer number (1121326080).

Almost surely, 257644034318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57644034318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71764869120).

57644034318 is an abundant number, since it is smaller than the sum of its proper divisors (85885703922).

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

57644034318 is a wasteful number, since it uses less digits than its factorization.

57644034318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21033 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 57644034318 in words is "fifty-seven billion, six hundred forty-four million, thirty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 127 186 234 254 279 351 381 403 558 702 762 806 837 1143 1209 1651 1674 2286 2418 3302 3429 3627 3937 4953 6858 7254 7874 9906 10881 11811 14859 20857 21762 23622 29718 35433 41714 44577 51181 62571 70866 89154 102362 106299 125142 153543 187713 212598 271141 307086 375426 460629 542282 563139 646567 813423 921258 1126278 1293134 1381887 1626846 1939701 2440269 2648839 2763774 3879402 4880538 5297678 5819103 7320807 7946517 8405371 11638206 14641614 15893034 16810742 17457309 23839551 25216113 34434907 34914618 47679102 50432226 68869814 71518653 75648339 82114009 103304721 143037306 151296678 164228018 206609442 226945017 246342027 309914163 453890034 492684054 619828326 739026081 929742489 1067482117 1478052162 1859484978 2134964234 2217078243 3202446351 4434156486 6404892702 9607339053 19214678106 28822017159 57644034318