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193392375696 = 243213228192
BaseRepresentation
bin1011010000011100010…
…1010111011110010000
3200111011211212120222100
42310013011113132100
511132031422010241
6224502045440400
716654305033132
oct2640705273620
9614154776870
10193392375696
1175020a55273
1231592870100
13153103b8400
149508703052
15506d3149b6
hex2d07157790

193392375696 has 135 divisors (see below), whose sum is σ = 586273649169. Its totient is φ = 59484237696.

The previous prime is 193392375677. The next prime is 193392375721. The reversal of 193392375696 is 696573293391.

The square root of 193392375696 is 439764.

It is a perfect power (a square), and thus also a powerful number.

193392375696 is a `hidden beast` number, since 1 + 9 + 3 + 39 + 2 + 37 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28608339600 + 164784036096 = 169140^2 + 405936^2 .

It is a super-2 number, since 2×1933923756962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68601775 + ... + 68604593.

Almost surely, 2193392375696 is an apocalyptic number.

193392375696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193392375696 is the 439764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193392375696

193392375696 is an abundant number, since it is smaller than the sum of its proper divisors (392881273473).

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

193392375696 is an equidigital number, since it uses as much as digits as its factorization.

193392375696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 2837 counting only the distinct ones).

The product of its digits is 49601160, while the sum is 63.

The spelling of 193392375696 in words is "one hundred ninety-three billion, three hundred ninety-two million, three hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 2819 3042 4056 5638 6084 8112 8457 11276 12168 16914 22552 24336 25371 33828 36647 45104 50742 67656 73294 101484 109941 135312 146588 202968 219882 293176 329823 405936 439764 476411 586352 659646 879528 952822 1319292 1429233 1759056 1905644 2638584 2858466 3811288 4287699 5277168 5716932 7622576 7946761 8575398 11433864 15893522 17150796 22867728 23840283 31787044 34301592 47680566 63574088 68603184 71520849 95361132 103307893 127148176 143041698 190722264 206615786 286083396 309923679 381444528 413231572 572166792 619847358 826463144 929771037 1144333584 1239694716 1343002609 1652926288 1859542074 2479389432 2686005218 3719084148 4029007827 4958778864 5372010436 7438168296 8058015654 10744020872 12087023481 14876336592 16116031308 21488041744 24174046962 32232062616 48348093924 64464125232 96696187848 193392375696