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57098020608 = 283314955441
BaseRepresentation
bin110101001011010011…
…101010011100000000
312110101020222222102000
4311023103222130000
51413414043124413
642121440424000
74060641111246
oct651323523400
9173336888360
1057098020608
1122240386a92
12b096018000
1354cc475515
142a992c4796
151742ac2073
hexd4b4ea700

57098020608 has 144 divisors (see below), whose sum is σ = 169985172000. Its totient is φ = 18904596480.

The previous prime is 57098020571. The next prime is 57098020633. The reversal of 57098020608 is 80602089075.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1002168 + ... + 1057608.

Almost surely, 257098020608 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 57098020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84992586000).

57098020608 is an abundant number, since it is smaller than the sum of its proper divisors (112887151392).

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

57098020608 is a wasteful number, since it uses less digits than its factorization.

57098020608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55615 (or 55595 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 57098020608 in words is "fifty-seven billion, ninety-eight million, twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 149 192 216 256 288 298 384 432 447 576 596 768 864 894 1152 1192 1341 1728 1788 2304 2384 2682 3456 3576 4023 4768 5364 6912 7152 8046 9536 10728 14304 16092 19072 21456 28608 32184 38144 42912 55441 57216 64368 85824 110882 114432 128736 166323 171648 221764 257472 332646 343296 443528 498969 514944 665292 887056 997938 1029888 1330584 1496907 1774112 1995876 2661168 2993814 3548224 3991752 5322336 5987628 7096448 7983504 8260709 10644672 11975256 14192896 15967008 16521418 21289344 23950512 24782127 31934016 33042836 42578688 47901024 49564254 63868032 66085672 74346381 95802048 99128508 127736064 132171344 148692762 191604096 198257016 223039143 264342688 297385524 383208192 396514032 446078286 528685376 594771048 793028064 892156572 1057370752 1189542096 1586056128 1784313144 2114741504 2379084192 3172112256 3568626288 4758168384 6344224512 7137252576 9516336768 14274505152 19032673536 28549010304 57098020608