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1047261596164 = 227267210912
BaseRepresentation
bin11110011110101011010…
…01111100101000000100
310201010011110110021020121
433033111221330220010
5114124242432034124
62121034430311324
7135443055456100
oct17172551745004
93633143407217
101047261596164
11374160961683
1214ab71958544
13779aa8c6964
143898b1c8900
151c3959dc2e4
hexf3d5a7ca04

1047261596164 has 81 divisors (see below), whose sum is σ = 2166205617639. Its totient is φ = 441722247120.

The previous prime is 1047261596159. The next prime is 1047261596167. The reversal of 1047261596164 is 4616951627401.

It is a happy number.

The square root of 1047261596164 is 1023358.

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

It is not an unprimeable number, because it can be changed into a prime (1047261596167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 959909259 + ... + 959910349.

Almost surely, 21047261596164 is an apocalyptic number.

1047261596164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1047261596164 is the 1023358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047261596164

1047261596164 is an abundant number, since it is smaller than the sum of its proper divisors (1118944021475).

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

1047261596164 is an frugal number, since it uses more digits than its factorization.

1047261596164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 1047261596164 in words is "one trillion, forty-seven billion, two hundred sixty-one million, five hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1091 1876 2182 3283 4364 4489 6566 7637 8978 13132 15274 17956 30548 31423 53459 62846 73097 106918 125692 146194 213836 219961 292388 439922 511679 879844 1023358 1190281 2046716 2380562 3581753 4761124 4897499 7163506 8331967 9794998 14327012 16663934 19589996 33327868 34282493 58323769 68564986 79748827 116647538 137129972 159497654 233295076 239977451 318995308 479954902 558241789 959909804 1116483578 2232967156 3907692523 5343171409 7815385046 10686342818 15630770092 21372685636 37402199863 74804399726 149608799452 261815399041 523630798082 1047261596164