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57801427416 = 2333626342727
BaseRepresentation
bin110101110101001110…
…111100100111011000
312112012021120202011000
4311311032330213120
51421334131134131
642315325105000
74114242012045
oct656516744730
9175167522130
1057801427416
1122571442a27
12b2516b8160
1355b2108475
142b248a81cc
151784718ce6
hexd753bc9d8

57801427416 has 64 divisors (see below), whose sum is σ = 160588915200. Its totient is φ = 19263615264.

The previous prime is 57801427403. The next prime is 57801427469. The reversal of 57801427416 is 61472410875.

57801427416 is a `hidden beast` number, since 578 + 0 + 1 + 4 + 2 + 74 + 1 + 6 = 666.

It is a super-2 number, since 2×578014274162 (a number of 22 digits) contains 22 as substring.

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, 1331445 + ... + 1374171.

It is an arithmetic number, because the mean of its divisors is an integer number (2509201800).

Almost surely, 257801427416 is an apocalyptic number.

It is an amenable number.

57801427416 is an abundant number, since it is smaller than the sum of its proper divisors (102787487784).

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

57801427416 is a wasteful number, since it uses less digits than its factorization.

57801427416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49005 (or 48995 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 57801427416 in words is "fifty-seven billion, eight hundred one million, four hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6263 12526 18789 25052 37578 42727 50104 56367 75156 85454 112734 128181 150312 169101 170908 225468 256362 338202 341816 384543 450936 512724 676404 769086 1025448 1153629 1352808 1538172 2307258 3076344 4614516 9229032 267599201 535198402 802797603 1070396804 1605595206 2140793608 2408392809 3211190412 4816785618 6422380824 7225178427 9633571236 14450356854 19267142472 28900713708 57801427416