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57376111100 = 22527119776819
BaseRepresentation
bin110101011011111000…
…011111100111111100
312111002122021102211212
4311123320133213330
51420001241023400
642205213103552
74100555616560
oct653370374774
9174078242755
1057376111100
1122373356540
12b153187bb8
135544c719c9
142ac41d36a0
15175c204335
hexd5be1f9fc

57376111100 has 144 divisors (see below), whose sum is σ = 156830795520. Its totient is φ = 17698867200.

The previous prime is 57376111043. The next prime is 57376111123. The reversal of 57376111100 is 111167375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708491 + ... + 785309.

Almost surely, 257376111100 is an apocalyptic number.

57376111100 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 57376111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78415397760).

57376111100 is an abundant number, since it is smaller than the sum of its proper divisors (99454684420).

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

57376111100 is a wasteful number, since it uses less digits than its factorization.

57376111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76948 (or 76941 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

Adding to 57376111100 its reverse (111167375), we get a palindrome (57487278475).

The spelling of 57376111100 in words is "fifty-seven billion, three hundred seventy-six million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 97 100 110 140 154 175 194 220 275 308 350 385 388 485 550 679 700 770 970 1067 1100 1358 1540 1925 1940 2134 2425 2716 3395 3850 4268 4850 5335 6790 7469 7700 9700 10670 13580 14938 16975 21340 26675 29876 33950 37345 53350 67900 74690 76819 106700 149380 153638 186725 307276 373450 384095 537733 746900 768190 845009 1075466 1536380 1690018 1920475 2150932 2688665 3380036 3840950 4225045 5377330 5915063 7451443 7681900 8450090 10754660 11830126 13443325 14902886 16900180 21125225 23660252 26886650 29575315 29805772 37257215 42250450 52160101 53773300 59150630 74514430 81965873 84500900 104320202 118301260 147876575 149028860 163931746 186286075 208640404 260800505 295753150 327863492 372572150 409829365 521601010 573761111 591506300 745144300 819658730 1043202020 1147522222 1304002525 1639317460 2049146825 2295044444 2608005050 2868805555 4098293650 5216010100 5737611110 8196587300 11475222220 14344027775 28688055550 57376111100