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57839469408 = 25327224312791
BaseRepresentation
bin110101110111100000…
…000100001101100000
312112021221011110221200
4311313200010031200
51421423401010113
642323204321200
74115213243460
oct656740041540
9175257143850
1057839469408
1122590966496
12b2623a3200
1355b9c67a16
142b2996bba0
151787c30873
hexd77804360

57839469408 has 144 divisors (see below), whose sum is σ = 188076784896. Its totient is φ = 16516903680.

The previous prime is 57839469371. The next prime is 57839469409. The reversal of 57839469408 is 80496493875.

57839469408 is a `hidden beast` number, since 5 + 7 + 83 + 94 + 69 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57839469409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515493 + ... + 4528283.

It is an arithmetic number, because the mean of its divisors is an integer number (1306088784).

Almost surely, 257839469408 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 57839469408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94038392448).

57839469408 is an abundant number, since it is smaller than the sum of its proper divisors (130237315488).

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

57839469408 is a wasteful number, since it uses less digits than its factorization.

57839469408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 57839469408 in words is "fifty-seven billion, eight hundred thirty-nine million, four hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2243 4486 6729 8972 12791 13458 15701 17944 20187 25582 26916 31402 35888 38373 40374 47103 51164 53832 62804 71776 76746 80748 89537 94206 102328 107664 115119 125608 141309 153492 161496 179074 188412 204656 215328 230238 251216 268611 282618 306984 322992 358148 376824 409312 460476 502432 537222 565236 613968 645984 716296 753648 805833 920952 1074444 1130472 1227936 1432592 1507296 1611666 1841904 2148888 2260944 2865184 3223332 3683808 4297776 4521888 6446664 8595552 12893328 25786656 28690213 57380426 86070639 114760852 172141278 200831491 229521704 258211917 344282556 401662982 459043408 516423834 602494473 688565112 803325964 918086816 1032847668 1204988946 1377130224 1606651928 1807483419 2065695336 2409977892 2754260448 3213303856 3614966838 4131390672 4819955784 6426607712 7229933676 8262781344 9639911568 14459867352 19279823136 28919734704 57839469408