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57241212880 = 24515116992789
BaseRepresentation
bin110101010011110101…
…111001011111010000
312110202020102220021111
4311103311321133100
51414212222303010
642143553503104
74064330165365
oct652365713720
9173666386244
1057241212880
1122304199505
12b115b71a94
13552302c887
142ab031a46c
15175045958a
hexd53d797d0

57241212880 has 80 divisors (see below), whose sum is σ = 134094096000. Its totient is φ = 22723315200.

The previous prime is 57241212851. The next prime is 57241212913. The reversal of 57241212880 is 8821214275.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20522526 + ... + 20525314.

It is an arithmetic number, because the mean of its divisors is an integer number (1676176200).

Almost surely, 257241212880 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 57241212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67047048000).

57241212880 is an abundant number, since it is smaller than the sum of its proper divisors (76852883120).

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

57241212880 is a wasteful number, since it uses less digits than its factorization.

57241212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 57241212880 in words is "fifty-seven billion, two hundred forty-one million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 1699 2416 2789 3020 3398 5578 6040 6796 8495 11156 12080 13592 13945 16990 22312 27184 27890 33980 44624 55780 67960 111560 135920 223120 256549 421139 513098 842278 1026196 1282745 1684556 2052392 2105695 2565490 3369112 4104784 4211390 4738511 5130980 6738224 8422780 9477022 10261960 16845560 18954044 20523920 23692555 33691120 37908088 47385110 75816176 94770220 189540440 379080880 715515161 1431030322 2862060644 3577575805 5724121288 7155151610 11448242576 14310303220 28620606440 57241212880