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57344628012 = 223713146711159
BaseRepresentation
bin110101011010000000…
…011001010100101100
312111000110000221011120
4311122000121110230
51414420211044022
642202130220540
74100024203260
oct653200312454
9174013027146
1057344628012
1122357602861
12b144724750
13553b59a969
142abdd5a0a0
151759585d5c
hexd5a01952c

57344628012 has 96 divisors (see below), whose sum is σ = 154430115840. Its totient is φ = 16222839360.

The previous prime is 57344627981. The next prime is 57344628013. The reversal of 57344628012 is 21082644375.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57344628013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5133289 + ... + 5144447.

It is an arithmetic number, because the mean of its divisors is an integer number (1608647040).

Almost surely, 257344628012 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 57344628012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77215057920).

57344628012 is an abundant number, since it is smaller than the sum of its proper divisors (97085487828).

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

57344628012 is a wasteful number, since it uses less digits than its factorization.

57344628012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 57344628012 in words is "fifty-seven billion, three hundred forty-four million, six hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 467 524 786 917 934 1401 1572 1834 1868 2751 2802 3269 3668 5502 5604 6538 9807 11004 11159 13076 19614 22318 33477 39228 44636 61177 66954 78113 122354 133908 156226 183531 234339 244708 312452 367062 428239 468678 734124 856478 937356 1284717 1461829 1712956 2569434 2923658 4385487 5138868 5211253 5847316 8770974 10232803 10422506 15633759 17541948 20465606 20845012 30698409 31267518 36478771 40931212 61396818 62535036 72957542 109436313 122793636 145915084 218872626 437745252 682674143 1365348286 2048022429 2730696572 4096044858 4778719001 8192089716 9557438002 14336157003 19114876004 28672314006 57344628012