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57161623400 = 23527182322397
BaseRepresentation
bin110101001111000110…
…010010011101101000
312110112200200100000222
4311033012102131220
51414031333422100
642132031545212
74062342532160
oct651706223550
9173480610028
1057161623400
1122273278782
12b0b338b208
13550c6b42cb
142aa391d5a0
151748487485
hexd4f192768

57161623400 has 96 divisors (see below), whose sum is σ = 151976701440. Its totient is φ = 19586645760.

The previous prime is 57161623357. The next prime is 57161623423. The reversal of 57161623400 is 432616175.

57161623400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2541002 + ... + 2563398.

It is an arithmetic number, because the mean of its divisors is an integer number (1583090640).

Almost surely, 257161623400 is an apocalyptic number.

57161623400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57161623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75988350720).

57161623400 is an abundant number, since it is smaller than the sum of its proper divisors (94815078040).

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

57161623400 is a wasteful number, since it uses less digits than its factorization.

57161623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24243 (or 24234 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 57161623400 in words is "fifty-seven billion, one hundred sixty-one million, six hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1823 3646 7292 9115 12761 14584 18230 22397 25522 36460 44794 45575 51044 63805 72920 89588 91150 102088 111985 127610 156779 179176 182300 223970 255220 313558 319025 364600 447940 510440 559925 627116 638050 783895 895880 1119850 1254232 1276100 1567790 2239700 2552200 3135580 3919475 4479400 6271160 7838950 15677900 31355800 40829731 81659462 163318924 204148655 285808117 326637848 408297310 571616234 816594620 1020743275 1143232468 1429040585 1633189240 2041486550 2286464936 2858081170 4082973100 5716162340 7145202925 8165946200 11432324680 14290405850 28580811700 57161623400