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97318031555952 = 24322779712512649
BaseRepresentation
bin10110001000001010011110…
…101100110111110101110000
3110202120111211221112020020100
4112020022132230313311300
5100223424312034242302
6542551141515112400
726332665354411504
oct2610123654676560
9422514757466210
1097318031555952
1129010388812659
12aab8a77a42700
13423c08807349c
141a06309b40304
15b3b6ea777d1c
hex58829eb37d70

97318031555952 has 120 divisors (see below), whose sum is σ = 273620167657200. Its totient is φ = 32288933882880.

The previous prime is 97318031555947. The next prime is 97318031555999. The reversal of 97318031555952 is 25955513081379.

97318031555952 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 8 + 0 + 31 + 5 + 5 + 595 + 2 = 666.

97318031555952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 97318031555952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37474924 + ... + 39987572.

It is an arithmetic number, because the mean of its divisors is an integer number (2280168063810).

Almost surely, 297318031555952 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 97318031555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136810083828600).

97318031555952 is an abundant number, since it is smaller than the sum of its proper divisors (176302136101248).

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

97318031555952 is a wasteful number, since it uses less digits than its factorization.

97318031555952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513911 (or 2513902 counting only the distinct ones).

The product of its (nonzero) digits is 51030000, while the sum is 63.

The spelling of 97318031555952 in words is "ninety-seven trillion, three hundred eighteen billion, thirty-one million, five hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 554 831 971 1108 1662 1942 2216 2493 2913 3324 3884 4432 4986 5826 6648 7768 8739 9972 11652 13296 15536 17478 19944 23304 34956 39888 46608 69912 139824 268967 537934 806901 1075868 1613802 2151736 2420703 2512649 3227604 4303472 4841406 5025298 6455208 7537947 9682812 10050596 12910416 15075894 19365624 20101192 22613841 30151788 38731248 40202384 45227682 60303576 90455364 120607152 180910728 361821456 696003773 1392007546 2088011319 2439782179 2784015092 4176022638 4879564358 5568030184 6264033957 7319346537 8352045276 9759128716 11136060368 12528067914 14638693074 16704090552 19518257432 21958039611 25056135828 29277386148 33408181104 39036514864 43916079222 50112271656 58554772296 87832158444 100224543312 117109544592 175664316888 351328633776 675819663583 1351639327166 2027458990749 2703278654332 4054917981498 5406557308664 6082376972247 8109835962996 10813114617328 12164753944494 16219671925992 24329507888988 32439343851984 48659015777976 97318031555952