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57989950272 = 263422749279
BaseRepresentation
bin110110000000011110…
…000110101101000000
312112200102022200220000
4312000132012231000
51422230411402042
642350141520000
74122021305262
oct660036065500
9175612280800
1057989950272
11226588a6a41
12b2a4873000
1356121a4757
142b4193db32
15179605774c
hexd80786b40

57989950272 has 140 divisors (see below), whose sum is σ = 172661153280. Its totient is φ = 19244438784.

The previous prime is 57989950243. The next prime is 57989950279. The reversal of 57989950272 is 27205998975.

57989950272 is a `hidden beast` number, since 57 + 9 + 8 + 9 + 9 + 502 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57989950279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1152129 + ... + 1201407.

It is an arithmetic number, because the mean of its divisors is an integer number (1233293952).

Almost surely, 257989950272 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 57989950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86330576640).

57989950272 is an abundant number, since it is smaller than the sum of its proper divisors (114671203008).

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

57989950272 is a wasteful number, since it uses less digits than its factorization.

57989950272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49530 (or 49511 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 57989950272 in words is "fifty-seven billion, nine hundred eighty-nine million, nine hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 227 288 324 432 454 576 648 681 864 908 1296 1362 1728 1816 2043 2592 2724 3632 4086 5184 5448 6129 7264 8172 10896 12258 14528 16344 18387 21792 24516 32688 36774 43584 49032 49279 65376 73548 98064 98558 130752 147096 147837 196128 197116 294192 295674 392256 394232 443511 588384 591348 788464 887022 1176768 1182696 1330533 1576928 1774044 2365392 2661066 3153856 3548088 3991599 4730784 5322132 7096176 7983198 9461568 10644264 11186333 14192352 15966396 21288528 22372666 28384704 31932792 33558999 42577056 44745332 63865584 67117998 85154112 89490664 100676997 127731168 134235996 178981328 201353994 255462336 268471992 302030991 357962656 402707988 536943984 604061982 715925312 805415976 906092973 1073887968 1208123964 1610831952 1812185946 2147775936 2416247928 3221663904 3624371892 4832495856 6443327808 7248743784 9664991712 14497487568 19329983424 28994975136 57989950272