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57938859393024 = 2173791865141
BaseRepresentation
bin11010010110001111100010…
…01000100000000000000000
321121010220022201201000122010
431023013301020200000000
530043232241001034044
6323120424454012520
715126641643023031
oct1513076110400000
9247126281630563
1057938859393024
1117508806734375
1265b8b32947140
1326437c348c38c
141044381b24a88
156a71c9169bb9
hex34b1f1220000

57938859393024 has 144 divisors (see below), whose sum is σ = 156458854177920. Its totient is φ = 19068475146240.

The previous prime is 57938859393001. The next prime is 57938859393049. The reversal of 57938859393024 is 42039395883975.

It is a super-2 number, since 2×579388593930242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30131494 + ... + 31996634.

It is an arithmetic number, because the mean of its divisors is an integer number (1086519820680).

Almost surely, 257938859393024 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 57938859393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78229427088960).

57938859393024 is an abundant number, since it is smaller than the sum of its proper divisors (98519994784896).

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

57938859393024 is an frugal number, since it uses more digits than its factorization.

57938859393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865257 (or 1865225 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 75.

The spelling of 57938859393024 in words is "fifty-seven trillion, nine hundred thirty-eight billion, eight hundred fifty-nine million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2048 2528 3072 3792 4096 5056 6144 7584 8192 10112 12288 15168 16384 20224 24576 30336 32768 40448 49152 60672 65536 80896 98304 121344 131072 161792 196608 242688 323584 393216 485376 647168 970752 1294336 1865141 1941504 2588672 3730282 3883008 5177344 5595423 7460564 7766016 10354688 11190846 14921128 15532032 22381692 29842256 31064064 44763384 59684512 89526768 119369024 147346139 179053536 238738048 294692278 358107072 442038417 477476096 589384556 716214144 884076834 954952192 1178769112 1432428288 1768153668 1909904384 2357538224 2864856576 3536307336 3819808768 4715076448 5729713152 7072614672 7639617536 9430152896 11459426304 14145229344 15279235072 18860305792 22918852608 28290458688 30558470144 37720611584 45837705216 56580917376 61116940288 75441223168 91675410432 113161834752 122233880576 150882446336 183350820864 226323669504 244467761152 301764892672 366701641728 452647339008 603529785344 733403283456 905294678016 1207059570688 1810589356032 2414119141376 3621178712064 4828238282752 7242357424128 9656476565504 14484714848256 19312953131008 28969429696512 57938859393024