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57193058448 = 2433475947743
BaseRepresentation
bin110101010000111110…
…001101000010010000
312110121212211101211000
4311100332031002100
51414112410332243
642135113422000
74063203655431
oct652076150220
9173555741730
1057193058448
1122289a99359
12b101a0a900
13551606c526
142aa7b83488
15174b0e65d3
hexd50f8d090

57193058448 has 160 divisors (see below), whose sum is σ = 170503372800. Its totient is φ = 18342094464.

The previous prime is 57193058413. The next prime is 57193058467. The reversal of 57193058448 is 84485039175.

57193058448 is a `hidden beast` number, since 5 + 7 + 19 + 3 + 0 + 584 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57193058394 and 57193058403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174065 + ... + 1221807.

It is an arithmetic number, because the mean of its divisors is an integer number (1065646080).

Almost surely, 257193058448 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 57193058448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85251686400).

57193058448 is an abundant number, since it is smaller than the sum of its proper divisors (113310314352).

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

57193058448 is a wasteful number, since it uses less digits than its factorization.

57193058448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47866 (or 47854 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 57193058448 in words is "fifty-seven billion, one hundred ninety-three million, fifty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 59 72 94 108 118 141 144 177 188 216 236 282 354 376 423 432 472 531 564 708 752 846 944 1062 1128 1269 1416 1593 1692 2124 2256 2538 2773 2832 3186 3384 4248 5076 5546 6372 6768 8319 8496 10152 11092 12744 16638 20304 22184 24957 25488 33276 44368 47743 49914 66552 74871 95486 99828 133104 143229 149742 190972 199656 286458 299484 381944 399312 429687 572916 598968 763888 859374 1145832 1197936 1289061 1718748 2243921 2291664 2578122 2816837 3437496 4487842 5156244 5633674 6731763 6874992 8450511 8975684 10312488 11267348 13463526 16901022 17951368 20195289 20624976 22534696 25351533 26927052 33802044 35902736 40390578 45069392 50703066 53854104 60585867 67604088 76054599 80781156 101406132 107708208 121171734 132391339 135208176 152109198 161562312 202812264 242343468 264782678 304218396 323124624 397174017 405624528 484686936 529565356 608436792 794348034 969373872 1059130712 1191522051 1216873584 1588696068 2118261424 2383044102 3177392136 3574566153 4766088204 6354784272 7149132306 9532176408 14298264612 19064352816 28596529224 57193058448