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93996201744 = 24322928812
BaseRepresentation
bin101011110001010011…
…1000011011100010000
322222121202102210100100
41113202213003130100
53020001011423434
6111103052452400
76535212350334
oct1274247033420
9288552383310
1093996201744
1136955450665
121627317a100
138b2ca13bb3
1447999437c4
1526a2101699
hex15e29c3710

93996201744 has 135 divisors (see below), whose sum is σ = 272752194559. Its totient is φ = 30217313280.

The previous prime is 93996201737. The next prime is 93996201751. The reversal of 93996201744 is 44710269939.

The square root of 93996201744 is 306588.

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

93996201744 is a `hidden beast` number, since 9 + 3 + 9 + 9 + 620 + 1 + 7 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (93996201737) and next prime (93996201751).

It can be written as a sum of positive squares in 4 ways, for example, as 9803376144 + 84192825600 = 99012^2 + 290160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106692184 + ... + 106693064.

Almost surely, 293996201744 is an apocalyptic number.

93996201744 is the 306588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93996201744

93996201744 is an abundant number, since it is smaller than the sum of its proper divisors (178755992815).

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

93996201744 is an equidigital number, since it uses as much as digits as its factorization.

93996201744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 93996201744 in words is "ninety-three billion, nine hundred ninety-six million, two hundred one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 881 1044 1392 1682 1762 2088 2523 2643 3364 3524 4176 5046 5286 6728 7048 7569 7929 10092 10572 13456 14096 15138 15858 20184 21144 25549 30276 31716 40368 42288 51098 60552 63432 76647 102196 121104 126864 153294 204392 229941 306588 408784 459882 613176 740921 776161 919764 1226352 1481842 1552322 1839528 2222763 2328483 2963684 3104644 3679056 4445526 4656966 5927368 6209288 6668289 6985449 8891052 9313932 11854736 12418576 13336578 13970898 17782104 18627864 22508669 26673156 27941796 35564208 37255728 45017338 53346312 55883592 67526007 90034676 106692624 111767184 135052014 180069352 202578021 270104028 360138704 405156042 540208056 652751401 810312084 1080416112 1305502802 1620624168 1958254203 2611005604 3241248336 3916508406 5222011208 5874762609 7833016812 10444022416 11749525218 15666033624 23499050436 31332067248 46998100872 93996201744