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13013506152 = 23321371319293
BaseRepresentation
bin11000001111010101…
…00101100001101000
31020120221012121102100
430013222211201220
5203122424144102
65551152333400
7640325656113
oct140752454150
936527177370
1013013506152
11557886a869
122632244260
1312c51203ca
148b648357a
1551271da1c
hex307aa5868

13013506152 has 48 divisors (see below), whose sum is σ = 35502201540. Its totient is φ = 4306169088.

The previous prime is 13013506127. The next prime is 13013506193. The reversal of 13013506152 is 25160531031.

13013506152 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 506 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11652338916 + 1361167236 = 107946^2 + 36894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649783 + ... + 669510.

Almost surely, 213013506152 is an apocalyptic number.

13013506152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013506152 is an abundant number, since it is smaller than the sum of its proper divisors (22488695388).

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

13013506152 is a wasteful number, since it uses less digits than its factorization.

13013506152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319442 (or 1319435 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13013506152 in words is "thirteen billion, thirteen million, five hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 1319293 2638586 3957879 5277172 7915758 10554344 11873637 15831516 23747274 31663032 47494548 94989096 180743141 361486282 542229423 722972564 1084458846 1445945128 1626688269 2168917692 3253376538 4337835384 6506753076 13013506152