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11773275493152 = 253809178385021
BaseRepresentation
bin1010101101010010110111…
…1001110101001100100000
31112200111212210220210211010
42223110231321311030200
53020343132011240102
641012322413020520
72323406512342245
oct253245571651440
945614783823733
1011773275493152
11382a0220a6108
1213a18a6184740
136752a47ba064
142c9b884cd5cc
151563b36d3d6c
hexab52de75320

11773275493152 has 96 divisors (see below), whose sum is σ = 30960768101760. Its totient is φ = 3917329827840.

The previous prime is 11773275493129. The next prime is 11773275493171. The reversal of 11773275493152 is 25139457237711.

11773275493152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×117732754931522 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11773275493092 and 11773275493101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138432402 + ... + 138517422.

It is an arithmetic number, because the mean of its divisors is an integer number (322508001060).

Almost surely, 211773275493152 is an apocalyptic number.

11773275493152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11773275493152 is an abundant number, since it is smaller than the sum of its proper divisors (19187492608608).

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

11773275493152 is a wasteful number, since it uses less digits than its factorization.

11773275493152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87626 (or 87618 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The spelling of 11773275493152 in words is "eleven trillion, seven hundred seventy-three billion, two hundred seventy-five million, four hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 809 1618 1783 2427 3236 3566 4854 5349 6472 7132 9708 10698 12944 14264 19416 21396 25888 28528 38832 42792 57056 77664 85021 85584 170042 171168 255063 340084 510126 680168 1020252 1360336 1442447 2040504 2720672 2884894 4081008 4327341 5769788 8162016 8654682 11539576 17309364 23079152 34618728 46158304 68781989 69237456 137563978 138474912 151592443 206345967 275127956 303184886 412691934 454777329 550255912 606369772 825383868 909554658 1100511824 1212739544 1650767736 1819109316 2201023648 2425479088 3301535472 3638218632 4850958176 6603070944 7276437264 14552874528 122638286387 245276572774 367914859161 490553145548 735829718322 981106291096 1471659436644 1962212582192 2943318873288 3924425164384 5886637746576 11773275493152