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57457774608 = 24313221133569
BaseRepresentation
bin110101100000110000…
…000001000000010000
312111022022221101010020
4311200300001000100
51420133142241413
642221251303440
74102600011603
oct654060010020
9174268841106
1057457774608
1122405463543
12b1765aab80
135558b65300
142ad0db033a
151764485c23
hexd60c01010

57457774608 has 120 divisors (see below), whose sum is σ = 161495333280. Its totient is φ = 17595002880.

The previous prime is 57457774607. The next prime is 57457774609. The reversal of 57457774608 is 80647775475.

It is an interprime number because it is at equal distance from previous prime (57457774607) and next prime (57457774609).

It is not an unprimeable number, because it can be changed into a prime (57457774607) 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, 1694848 + ... + 1728416.

It is an arithmetic number, because the mean of its divisors is an integer number (1345794444).

Almost surely, 257457774608 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 57457774608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80747666640).

57457774608 is an abundant number, since it is smaller than the sum of its proper divisors (104037558672).

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

57457774608 is a wasteful number, since it uses less digits than its factorization.

57457774608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33817 (or 33798 counting only the distinct ones).

The product of its (nonzero) digits is 46099200, while the sum is 60.

The spelling of 57457774608 in words is "fifty-seven billion, four hundred fifty-seven million, seven hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 211 312 338 422 507 624 633 676 844 1014 1266 1352 1688 2028 2532 2704 2743 3376 4056 5064 5486 8112 8229 10128 10972 16458 21944 32916 33569 35659 43888 65832 67138 71318 100707 106977 131664 134276 142636 201414 213954 268552 285272 402828 427908 436397 537104 570544 805656 855816 872794 1309191 1611312 1711632 1745588 2618382 3491176 5236764 5673161 6982352 7083059 10473528 11346322 14166118 17019483 20947056 21249177 22692644 28332236 34038966 42498354 45385288 56664472 68077932 84996708 90770576 92079767 113328944 136155864 169993416 184159534 272311728 276239301 339986832 368319068 552478602 736638136 1104957204 1197036971 1473276272 2209914408 2394073942 3591110913 4419828816 4788147884 7182221826 9576295768 14364443652 19152591536 28728887304 57457774608