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91037321657104 = 242928329912
BaseRepresentation
bin10100101100110001000111…
…001101111111101100010000
3102221100002020110210022200211
4110230301013031333230100
543413023413321011404
6521341545044453504
725114141461211624
oct2454610715775420
9387302213708624
1091037321657104
1127009790812469
12a2637869aa294
133ba4a23495834
14186a330b01184
15a7d1528c1b04
hex52cc4737fb10

91037321657104 has 135 divisors (see below), whose sum is σ = 185090991751029. Its totient is φ = 43375731315840.

The previous prime is 91037321657063. The next prime is 91037321657111. The reversal of 91037321657104 is 40175612373019.

The square root of 91037321657104 is 9541348.

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

It can be written as a sum of positive squares in only one way, i.e., 47737763199504 + 43299558457600 = 6909252^2 + 6580240^2 .

It is a Duffinian number.

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, 91864098049 + ... + 91864099039.

Almost surely, 291037321657104 is an apocalyptic number.

91037321657104 is the 9541348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91037321657104

91037321657104 is an abundant number, since it is smaller than the sum of its proper divisors (94053670093925).

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

91037321657104 is an frugal number, since it uses more digits than its factorization.

91037321657104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 91037321657104 in words is "ninety-one trillion, thirty-seven billion, three hundred twenty-one million, six hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 83 116 166 232 332 464 664 841 991 1328 1682 1982 2407 3364 3964 4814 6728 6889 7928 9628 13456 13778 15856 19256 27556 28739 38512 55112 57478 69803 82253 110224 114956 139606 164506 199781 229912 279212 329012 399562 459824 558424 658024 799124 833431 982081 1116848 1316048 1598248 1666862 1964162 2385337 3196496 3333724 3928324 4770674 5793649 6667448 6826999 7856648 9541348 11587298 13334896 13653998 15713296 19082696 23174596 27307996 28480349 38165392 46349192 54615992 56960698 69174773 81512723 92698384 109231984 113921396 138349546 163025446 197982971 227842792 276699092 326050892 395965942 455685584 553398184 652101784 791931884 825930121 1106796368 1304203568 1583863768 1651860242 2363868967 3167727536 3303720484 4727737934 5741506159 6607440968 6765556009 9455475868 11483012318 13214881936 13531112018 18910951736 22966024636 27062224036 37821903472 45932049272 54124448072 68552200043 91864098544 108248896144 137104400086 196201124261 274208800172 392402248522 548417600344 784804497044 1096835200688 1569608994088 3139217988176 5689832603569 11379665207138 22759330414276 45518660828552 91037321657104