Search a number
-
+
57316716912 = 24371331423289
BaseRepresentation
bin110101011000010101…
…111011000101110000
312110221111111220100010
4311120111323011300
51414341034420122
642155252054520
74066235024640
oct653025730560
9173844456303
1057316716912
1122342879834
12b137304440
135535877710
142aba372520
151756dc0e0c
hexd5857b170

57316716912 has 160 divisors (see below), whose sum is σ = 188116848640. Its totient is φ = 14628833280.

The previous prime is 57316716907. The next prime is 57316716931. The reversal of 57316716912 is 21961761375.

57316716912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76237 + ... + 347052.

It is an arithmetic number, because the mean of its divisors is an integer number (1175730304).

Almost surely, 257316716912 is an apocalyptic number.

57316716912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57316716912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058424320).

57316716912 is an abundant number, since it is smaller than the sum of its proper divisors (130800131728).

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

57316716912 is a wasteful number, since it uses less digits than its factorization.

57316716912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423351 (or 423345 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 57316716912 in words is "fifty-seven billion, three hundred sixteen million, seven hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 33852 45136 67704 135408 423289 846578 1269867 1693156 2539734 2963023 3386312 5079468 5502757 5926046 6772624 8889069 10158936 11005514 11852092 13121959 16508271 17778138 20317872 22011028 23704184 26243918 33016542 35556276 38519299 39365877 44022056 47408368 52487836 66033084 71112552 77038598 78731754 88044112 91853713 104975672 115557897 132066168 142225104 154077196 157463508 170585467 183707426 209951344 231115794 264132336 275561139 308154392 314927016 341170934 367414852 462231588 511756401 551122278 616308784 629854032 682341868 734829704 924463176 1023512802 1102244556 1194098269 1364683736 1469659408 1848926352 2047025604 2204489112 2388196538 2729367472 3582294807 4094051208 4408978224 4776393076 7164589614 8188102416 9552786152 14329179228 19105572304 28658358456 57316716912