Search a number
-
+
113167448244361 = 72761219972
BaseRepresentation
bin11001101110110011011001…
…100011011000000010001001
3112211200200222001020020000101
4121232303121203120002021
5104313113413222304421
61040404224044205401
732560035602414200
oct3156633143300211
9484620861206011
10113167448244361
11330710552a0285
1210838739539861
134b1b84c1a7754
141dd3495a2a237
15d13b29751191
hex66ecd98d8089

113167448244361 has 27 divisors (see below), whose sum is σ = 131883022063317. Its totient is φ = 96824695813440.

The previous prime is 113167448244343. The next prime is 113167448244379. The reversal of 113167448244361 is 163442844761311.

The square root of 113167448244361 is 10638019.

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

It is an interprime number because it is at equal distance from previous prime (113167448244343) and next prime (113167448244379).

It can be written as a sum of positive squares in 4 ways, for example, as 108264961452025 + 4902486792336 = 10405045^2 + 2214156^2 .

It is not a de Polignac number, because 113167448244361 - 211 = 113167448242313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113167448244161) 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, 56668726215 + ... + 56668728211.

Almost surely, 2113167448244361 is an apocalyptic number.

113167448244361 is the 10638019-th square number.

113167448244361 is the 5319010-th centered octagonal number.

It is an amenable number.

113167448244361 is a deficient number, since it is larger than the sum of its proper divisors (18715573818956).

113167448244361 is an frugal number, since it uses more digits than its factorization.

113167448244361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 2765 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 113167448244361 in words is "one hundred thirteen trillion, one hundred sixty-seven billion, four hundred forty-eight million, two hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 7 49 761 1997 5327 13979 37289 97853 579121 1519717 3988009 4053847 10638019 27916063 28376929 74466133 195412441 1156504637 3034874849 8095532459 21244123943 56668727213 148708867601 2309539760089 16166778320623 113167448244361