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57379450460192 = 2571741367515439
BaseRepresentation
bin11010000101111101100011…
…10000110001100000100000
321112011102101120002211100222
431002332301300301200200
530010101103304211232
6322011431115102212
715041346162401510
oct1502766160614040
9245142346084328
1057379450460192
11173125409a6383
126528631a41968
132602b221a3113
14102527474b840
15697887b39d12
hex342fb1c31820

57379450460192 has 96 divisors (see below), whose sum is σ = 140032203010560. Its totient is φ = 22580148510720.

The previous prime is 57379450460183. The next prime is 57379450460197. The reversal of 57379450460192 is 29106405497375.

It is a happy number.

It is a super-2 number, since 2×573794504601922 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57379450460197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183601592 + ... + 183913847.

It is an arithmetic number, because the mean of its divisors is an integer number (1458668781360).

Almost surely, 257379450460192 is an apocalyptic number.

It is an amenable number.

57379450460192 is an abundant number, since it is smaller than the sum of its proper divisors (82652752550368).

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

57379450460192 is a wasteful number, since it uses less digits than its factorization.

57379450460192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367515514 (or 367515506 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 57379450460192 in words is "fifty-seven trillion, three hundred seventy-nine billion, four hundred fifty million, four hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 82 112 119 136 164 224 238 272 287 328 476 544 574 656 697 952 1148 1312 1394 1904 2296 2788 3808 4592 4879 5576 9184 9758 11152 19516 22304 39032 78064 156128 367515439 735030878 1470061756 2572608073 2940123512 5145216146 5880247024 6247762463 10290432292 11760494048 12495524926 15068132999 20580864584 24991049852 30136265998 41161729168 43734337241 49982099704 60272531996 82323458336 87468674482 99964199408 105476930993 120545063992 174937348964 199928398816 210953861986 241090127984 256158260983 349874697928 421907723972 482180255968 512316521966 699749395856 843815447944 1024633043932 1399498791712 1687630895888 1793107826881 2049266087864 3375261791776 3586215653762 4098532175728 7172431307524 8197064351456 14344862615048 28689725230096 57379450460192