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13244500152 = 23321390715601
BaseRepresentation
bin11000101010110111…
…10000100010111000
31021012000212022121200
430111123300202320
5204111043001102
610030123334200
7646132252032
oct142533604270
937160768550
1013244500152
1156871a1aa4
122697681360
131330c39c50
148d9012c52
15527b4b51c
hex3156f08b8

13244500152 has 96 divisors (see below), whose sum is σ = 38674861680. Its totient is φ = 4070476800.

The previous prime is 13244500141. The next prime is 13244500177. The reversal of 13244500152 is 25100544231.

13244500152 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 500 + 152 = 666.

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, 841152 + ... + 856752.

Almost surely, 213244500152 is an apocalyptic number.

13244500152 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 13244500152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337430840).

13244500152 is an abundant number, since it is smaller than the sum of its proper divisors (25430361528).

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

13244500152 is a wasteful number, since it uses less digits than its factorization.

13244500152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 13244500152 in words is "thirteen billion, two hundred forty-four million, five hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 907 936 1814 2721 3628 5442 7256 8163 10884 11791 15601 16326 21768 23582 31202 32652 35373 46803 47164 62404 65304 70746 93606 94328 106119 124808 140409 141492 187212 202813 212238 280818 282984 374424 405626 424476 561636 608439 811252 848952 1123272 1216878 1622504 1825317 2433756 3650634 4867512 7301268 14150107 14602536 28300214 42450321 56600428 84900642 113200856 127350963 169801284 183951391 254701926 339602568 367902782 509403852 551854173 735805564 1018807704 1103708346 1471611128 1655562519 2207416692 3311125038 4414833384 6622250076 13244500152