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57491457464 = 23731163203173
BaseRepresentation
bin110101100010110000…
…100000010110111000
312111101200022122022102
4311202300200112320
51420220303114324
642224453242532
74103456216420
oct654260402670
9174350278272
1057491457464
1122422479a11
12b185933448
135562b296ac
142ad565b480
1517673dadae
hexd62c205b8

57491457464 has 64 divisors (see below), whose sum is σ = 127950858240. Its totient is φ = 23697982080.

The previous prime is 57491457431. The next prime is 57491457503. The reversal of 57491457464 is 46475419475.

It is a super-2 number, since 2×574914574642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 181382 + ... + 384554.

It is an arithmetic number, because the mean of its divisors is an integer number (1999232160).

Almost surely, 257491457464 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 57491457464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63975429120).

57491457464 is an abundant number, since it is smaller than the sum of its proper divisors (70459400776).

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

57491457464 is a wasteful number, since it uses less digits than its factorization.

57491457464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203380 (or 203376 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 56.

The spelling of 57491457464 in words is "fifty-seven billion, four hundred ninety-one million, four hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 163 217 248 326 434 652 868 1141 1304 1736 2282 4564 5053 9128 10106 20212 35371 40424 70742 141484 203173 282968 406346 812692 1422211 1625384 2844422 5688844 6298363 11377688 12596726 25193452 33117199 44088541 50386904 66234398 88177082 132468796 176354164 231820393 264937592 352708328 463640786 927281572 1026633169 1854563144 2053266338 4106532676 7186432183 8213065352 14372864366 28745728732 57491457464