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136462485544 = 237111716778031
BaseRepresentation
bin111111100010111001…
…1000100100000101000
3111001020022020112012021
41333011303010200220
54213433344014134
6142405012354224
712600444663040
oct1770563044050
9431208215167
10136462485544
1152967574180
1222545015974
13cb39a1c288
1468678a6720
15383a3a40b4
hex1fc5cc4828

136462485544 has 128 divisors (see below), whose sum is σ = 339795025920. Its totient is φ = 49739443200.

The previous prime is 136462485469. The next prime is 136462485563. The reversal of 136462485544 is 445584264631.

It is a hoax number, since the sum of its digits (52) 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 = 136462485491 and 136462485500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709809 + ... + 1787839.

It is an arithmetic number, because the mean of its divisors is an integer number (2654648640).

Almost surely, 2136462485544 is an apocalyptic number.

136462485544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136462485544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169897512960).

136462485544 is an abundant number, since it is smaller than the sum of its proper divisors (203332540376).

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

136462485544 is a wasteful number, since it uses less digits than its factorization.

136462485544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78239 (or 78235 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 52.

The spelling of 136462485544 in words is "one hundred thirty-six billion, four hundred sixty-two million, four hundred eighty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 167 187 238 308 334 374 476 616 668 748 952 1169 1309 1336 1496 1837 2338 2618 2839 3674 4676 5236 5678 7348 9352 10472 11356 12859 14696 19873 22712 25718 31229 39746 51436 62458 78031 79492 102872 124916 156062 158984 218603 249832 312124 437206 546217 624248 858341 874412 1092434 1326527 1716682 1748824 2184868 2653054 3433364 4369736 5306108 6008387 6866728 9285689 10612216 12016774 13031177 14591797 18571378 24033548 26062354 29183594 37142756 48067096 52124708 58367188 74285512 91218239 102142579 104249416 116734376 143342947 182436478 204285158 221530009 286685894 364872956 408570316 443060018 573371788 729745912 817140632 886120036 1003400629 1146743576 1550710063 1772240072 2006801258 2436830099 3101420126 4013602516 4873660198 6202840252 8027205032 9747320396 12405680504 17057810693 19494640792 34115621386 68231242772 136462485544