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57495197952 = 283333724683
BaseRepresentation
bin110101100010111110…
…110001100100000000
312111101221100200022000
4311202332301210000
51420222232313302
642225105344000
74103533055553
oct654276614400
9174357320260
1057495197952
11224245a4225
12b187038000
1355638390ba
142ad5d5269a
1517678c931c
hexd62fb1900

57495197952 has 144 divisors (see below), whose sum is σ = 170534844480. Its totient is φ = 19107422208.

The previous prime is 57495197951. The next prime is 57495197959. The reversal of 57495197952 is 25979159475.

57495197952 is a `hidden beast` number, since 5 + 7 + 49 + 519 + 79 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57495197952.

It is not an unprimeable number, because it can be changed into a prime (57495197951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317003 + ... + 2341685.

Almost surely, 257495197952 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 57495197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85267422240).

57495197952 is an abundant number, since it is smaller than the sum of its proper divisors (113039646528).

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

57495197952 is a wasteful number, since it uses less digits than its factorization.

57495197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25045 (or 25025 counting only the distinct ones).

The product of its digits is 35721000, while the sum is 63.

The spelling of 57495197952 in words is "fifty-seven billion, four hundred ninety-five million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 337 384 432 576 674 768 864 1011 1152 1348 1728 2022 2304 2696 3033 3456 4044 5392 6066 6912 8088 9099 10784 12132 16176 18198 21568 24264 24683 32352 36396 43136 48528 49366 64704 72792 74049 86272 97056 98732 129408 145584 148098 194112 197464 222147 258816 291168 296196 388224 394928 444294 582336 592392 666441 776448 789856 888588 1164672 1184784 1332882 1579712 1777176 2329344 2369568 2665764 3159424 3554352 4739136 5331528 6318848 7108704 8318171 9478272 10663056 14217408 16636342 18956544 21326112 24954513 28434816 33272684 42652224 49909026 56869632 66545368 74863539 85304448 99818052 133090736 149727078 170608896 199636104 224590617 266181472 299454156 399272208 449181234 532362944 598908312 798544416 898362468 1064725888 1197816624 1597088832 1796724936 2129451776 2395633248 3194177664 3593449872 4791266496 6388355328 7186899744 9582532992 14373799488 19165065984 28747598976 57495197952