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57113088384 = 2731121164081
BaseRepresentation
bin110101001100001101…
…001001000110000000
312110102022100111111210
4311030031021012000
51413431422312014
642123135410120
74061213145522
oct651415110600
9173368314453
1057113088384
11222489386a0
12b09b083940
13550261c971
142a9b2c7a12
15174409b859
hexd4c349180

57113088384 has 128 divisors (see below), whose sum is σ = 166285100160. Its totient is φ = 17224704000.

The previous prime is 57113088353. The next prime is 57113088469. The reversal of 57113088384 is 48388031175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859224 + ... + 923304.

It is an arithmetic number, because the mean of its divisors is an integer number (1299102345).

Almost surely, 257113088384 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 57113088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83142550080).

57113088384 is an abundant number, since it is smaller than the sum of its proper divisors (109172011776).

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

57113088384 is a wasteful number, since it uses less digits than its factorization.

57113088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64320 (or 64308 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 57113088384 in words is "fifty-seven billion, one hundred thirteen million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 211 264 352 384 422 528 633 704 844 1056 1266 1408 1688 2112 2321 2532 3376 4224 4642 5064 6752 6963 9284 10128 13504 13926 18568 20256 27008 27852 37136 40512 55704 64081 74272 81024 111408 128162 148544 192243 222816 256324 297088 384486 445632 512648 704891 768972 891264 1025296 1409782 1537944 2050592 2114673 2819564 3075888 4101184 4229346 5639128 6151776 8202368 8458692 11278256 12303552 13521091 16917384 22556512 24607104 27042182 33834768 40563273 45113024 54084364 67669536 81126546 90226048 108168728 135339072 148732001 162253092 216337456 270678144 297464002 324506184 432674912 446196003 594928004 649012368 865349824 892392006 1189856008 1298024736 1730699648 1784784012 2379712016 2596049472 3569568024 4759424032 5192098944 7139136048 9518848064 14278272096 19037696128 28556544192 57113088384