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12455462052 = 223211106929423
BaseRepresentation
bin10111001100110011…
…10100010010100100
31012011001011000211100
423212121310102210
5201002044241202
65415535440100
7620441452305
oct134631642244
935131130740
1012455462052
115311868aa0
1224b7386030
1312366246b7
148622dc7ac
154cd73c41c
hex2e66744a4

12455462052 has 72 divisors (see below), whose sum is σ = 34380178560. Its totient is φ = 3770723520.

The previous prime is 12455462023. The next prime is 12455462111. The reversal of 12455462052 is 25026455421.

12455462052 is a `hidden beast` number, since 1 + 2 + 45 + 546 + 20 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12455461998 and 12455462016.

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, 408613 + ... + 438035.

It is an arithmetic number, because the mean of its divisors is an integer number (477502480).

Almost surely, 212455462052 is an apocalyptic number.

12455462052 is a gapful number since it is divisible by the number (12) 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 12455462052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190089280).

12455462052 is an abundant number, since it is smaller than the sum of its proper divisors (21924716508).

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

12455462052 is a wasteful number, since it uses less digits than its factorization.

12455462052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30513 (or 30508 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 12455462052 in words is "twelve billion, four hundred fifty-five million, four hundred sixty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1069 2138 3207 4276 6414 9621 11759 12828 19242 23518 29423 35277 38484 47036 58846 70554 88269 105831 117692 141108 176538 211662 264807 323653 353076 423324 529614 647306 970959 1059228 1294612 1941918 2912877 3883836 5825754 11651508 31453187 62906374 94359561 125812748 188719122 283078683 345985057 377438244 566157366 691970114 1037955171 1132314732 1383940228 2075910342 3113865513 4151820684 6227731026 12455462052