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57348484375 = 5671353761
BaseRepresentation
bin110101011010001111…
…000110110100010111
312111000201021212002211
4311122033012310113
51414422203000000
642202345014251
74100102034310
oct653217066427
9174021255084
1057348484375
11223597a7136
12b145a84387
13553c31b030
142ac0681607
151759a987ba
hexd5a3c6d17

57348484375 has 112 divisors (see below), whose sum is σ = 90010097856. Its totient is φ = 35568000000.

The previous prime is 57348484367. The next prime is 57348484399.

57348484375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57348484375 - 23 = 57348484367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75358995 + ... + 75359755.

It is an arithmetic number, because the mean of its divisors is an integer number (803661588).

Almost surely, 257348484375 is an apocalyptic number.

57348484375 is a deficient number, since it is larger than the sum of its proper divisors (32661613481).

57348484375 is an frugal number, since it uses more digits than its factorization.

57348484375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 839 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 58.

The spelling of 57348484375 in words is "fifty-seven billion, three hundred forty-eight million, four hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 5 7 13 25 35 53 65 91 125 175 265 325 371 455 625 689 761 875 1325 1625 1855 2275 3125 3445 3805 4375 4823 5327 6625 8125 9275 9893 11375 15625 17225 19025 21875 24115 26635 33125 40333 40625 46375 49465 56875 69251 86125 95125 109375 120575 133175 165625 201665 203125 231875 247325 282331 284375 346255 430625 475625 524329 602875 665875 828125 1008325 1159375 1236625 1411655 1421875 1731275 2153125 2378125 2621645 3014375 3329375 3670303 5041625 5796875 6183125 7058275 8656375 10765625 11890625 13108225 15071875 16646875 18351515 25208125 30915625 35291375 43281875 65541125 75359375 83234375 91757575 126040625 154578125 176456875 216409375 327705625 458787875 630203125 882284375 1082046875 1638528125 2293939375 4411421875 8192640625 11469696875 57348484375