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57061216608 = 25311279719319
BaseRepresentation
bin110101001001000111…
…010001000101100000
312110021200202010210220
4311021013101011200
51413330132412413
642114043523040
74060013224044
oct651107210540
9173250663726
1057061216608
1122221629660
12b085829480
1354c495a5c6
142a94464024
15173e752223
hexd491d1160

57061216608 has 96 divisors (see below), whose sum is σ = 163469456640. Its totient is φ = 17284200960.

The previous prime is 57061216607. The next prime is 57061216627. The reversal of 57061216608 is 80661216075.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57061216608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57061216607) 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, 2943973 + ... + 2963291.

It is an arithmetic number, because the mean of its divisors is an integer number (1702806840).

Almost surely, 257061216608 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 57061216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81734728320).

57061216608 is an abundant number, since it is smaller than the sum of its proper divisors (106408240032).

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

57061216608 is a wasteful number, since it uses less digits than its factorization.

57061216608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22140 (or 22132 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 57061216608 in words is "fifty-seven billion, sixty-one million, two hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2797 5594 8391 11188 16782 19319 22376 30767 33564 38638 44752 57957 61534 67128 77276 89504 92301 115914 123068 134256 154552 184602 212509 231828 246136 268512 309104 369204 425018 463656 492272 618208 637527 738408 850036 927312 984544 1275054 1476816 1700072 1854624 2550108 2953632 3400144 5100216 6800288 10200432 20400864 54035243 108070486 162105729 216140972 324211458 432281944 594387673 648422916 864563888 1188775346 1296845832 1729127776 1783163019 2377550692 2593691664 3566326038 4755101384 5187383328 7132652076 9510202768 14265304152 19020405536 28530608304 57061216608