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145206563508 = 2232179191117977
BaseRepresentation
bin1000011100111011111…
…1000101001010110100
3111212210200202201011200
42013032333011022310
54334340340013013
6150412412332500
713330232265516
oct2071677051264
9455720681150
10145206563508
1156644357396
1224185474130
13109014654c6
147056cddbb6
153b9cd7be73
hex21cefc52b4

145206563508 has 72 divisors (see below), whose sum is σ = 371036090880. Its totient is φ = 47879379840.

The previous prime is 145206563461. The next prime is 145206563533. The reversal of 145206563508 is 805365602541.

145206563508 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 6 + 5 + 635 + 0 + 8 = 666.

145206563508 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1171816 + ... + 1289792.

It is an arithmetic number, because the mean of its divisors is an integer number (5153279040).

Almost surely, 2145206563508 is an apocalyptic number.

145206563508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145206563508 is an abundant number, since it is smaller than the sum of its proper divisors (225829527372).

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

145206563508 is a wasteful number, since it uses less digits than its factorization.

145206563508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118357 (or 118352 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 145206563508 in words is "one hundred forty-five billion, two hundred six million, five hundred sixty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 179 191 358 382 537 573 716 764 1074 1146 1611 1719 2148 2292 3222 3438 6444 6876 34189 68378 102567 117977 136756 205134 235954 307701 353931 410268 471908 615402 707862 1061793 1230804 1415724 2123586 4247172 21117883 22533607 42235766 45067214 63353649 67600821 84471532 90134428 126707298 135201642 190060947 202802463 253414596 270403284 380121894 405604926 760243788 811209852 4033515653 8067031306 12100546959 16134062612 24201093918 36301640877 48402187836 72603281754 145206563508