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57095925744 = 243111333724683
BaseRepresentation
bin110101001011001011…
…101010111111110000
312110101010001112210110
4311023023222333300
51413413024110434
642121323501320
74060614234624
oct651313527760
9173333045713
1057095925744
112223a1860a0
12b095387840
1354cbbc0b60
142a98cdb184
15174280b4e9
hexd4b2eaff0

57095925744 has 160 divisors (see below), whose sum is σ = 173805375744. Its totient is φ = 15922851840.

The previous prime is 57095925703. The next prime is 57095925749. The reversal of 57095925744 is 44752959075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57095925749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2300827 + ... + 2325509.

Almost surely, 257095925744 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 57095925744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86902687872).

57095925744 is an abundant number, since it is smaller than the sum of its proper divisors (116709450000).

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

57095925744 is a wasteful number, since it uses less digits than its factorization.

57095925744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25055 (or 25049 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 57095925744 in words is "fifty-seven billion, ninety-five million, nine hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 337 429 528 572 624 674 858 1011 1144 1348 1716 2022 2288 2696 3432 3707 4044 4381 5392 6864 7414 8088 8762 11121 13143 14828 16176 17524 22242 24683 26286 29656 35048 44484 48191 49366 52572 59312 70096 74049 88968 96382 98732 105144 144573 148098 177936 192764 197464 210288 271513 289146 296196 320879 385528 394928 543026 578292 592392 641758 771056 814539 962637 1086052 1156584 1184784 1283516 1629078 1925274 2172104 2313168 2567032 3258156 3529669 3850548 4344208 5134064 6516312 7059338 7701096 8318171 10589007 13032624 14118676 15402192 16636342 21178014 24954513 28237352 33272684 42356028 49909026 56474704 66545368 84712056 91499881 99818052 108136223 133090736 169424112 182999762 199636104 216272446 274499643 324408669 365999524 399272208 432544892 548999286 648817338 731999048 865089784 1097998572 1189498453 1297634676 1463998096 1730179568 2195997144 2378996906 2595269352 3568495359 4391994288 4757993812 5190538704 7136990718 9515987624 14273981436 19031975248 28547962872 57095925744