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57255722172 = 223211661218737
BaseRepresentation
bin110101010100101101…
…001111110010111100
312110210020202001021200
4311110231033302330
51414224431102142
642145232455500
74064564415465
oct652455176274
9173706661250
1057255722172
11223113a9560
12b11a9aa590
13552603ca5c
142ab2215d6c
15175187364c
hexd54b4fcbc

57255722172 has 72 divisors (see below), whose sum is σ = 158126575152. Its totient is φ = 17323891200.

The previous prime is 57255722131. The next prime is 57255722179. The reversal of 57255722172 is 27122755275.

It is a happy number.

57255722172 is a `hidden beast` number, since 5 + 7 + 2 + 5 + 572 + 2 + 1 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57255722179) 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, 152388 + ... + 371124.

Almost surely, 257255722172 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 57255722172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79063287576).

57255722172 is an abundant number, since it is smaller than the sum of its proper divisors (100870852980).

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

57255722172 is a wasteful number, since it uses less digits than its factorization.

57255722172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219419 (or 219414 counting only the distinct ones).

The product of its digits is 686000, while the sum is 45.

The spelling of 57255722172 in words is "fifty-seven billion, two hundred fifty-five million, seven hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 661 1322 1983 2644 3966 5949 7271 7932 11898 14542 21813 23796 29084 43626 65439 87252 130878 218737 261756 437474 656211 874948 1312422 1968633 2406107 2624844 3937266 4812214 7218321 7874532 9624428 14436642 21654963 28873284 43309926 86619852 144585157 289170314 433755471 578340628 867510942 1301266413 1590436727 1735021884 2602532826 3180873454 4771310181 5205065652 6361746908 9542620362 14313930543 19085240724 28627861086 57255722172