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13052331504 = 24321912893701
BaseRepresentation
bin11000010011111101…
…01100010111110000
31020200122021010210100
430021332230113300
5203212344102004
65555100432400
7641306662422
oct141176542760
936618233710
1013052331504
115598778933
122643248700
1313001953a4
148bb6ac812
15515d3c739
hex309fac5f0

13052331504 has 120 divisors (see below), whose sum is σ = 38491174800. Its totient is φ = 4117478400.

The previous prime is 13052331503. The next prime is 13052331511. The reversal of 13052331504 is 40513325031.

13052331504 is a `hidden beast` number, since 130 + 5 + 23 + 3 + 1 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052331503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3524854 + ... + 3528554.

It is an arithmetic number, because the mean of its divisors is an integer number (320759790).

Almost surely, 213052331504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13052331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19245587400).

13052331504 is an abundant number, since it is smaller than the sum of its proper divisors (25438843296).

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

13052331504 is a wasteful number, since it uses less digits than its factorization.

13052331504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13052331504 its reverse (40513325031), we get a palindrome (53565656535).

The spelling of 13052331504 in words is "thirteen billion, fifty-two million, three hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1289 1368 2578 2736 3701 3867 5156 7402 7734 10312 11103 11601 14804 15468 20624 22206 23202 24491 29608 30936 33309 44412 46404 48982 59216 61872 66618 70319 73473 88824 92808 97964 133236 140638 146946 177648 185616 195928 210957 220419 266472 281276 293892 391856 421914 440838 532944 562552 587784 632871 843828 881676 1125104 1175568 1265742 1687656 1763352 2531484 3375312 3526704 4770589 5062968 9541178 10125936 14311767 19082356 28623534 38164712 42935301 57247068 76329424 85870602 90641191 114494136 171741204 181282382 228988272 271923573 343482408 362564764 543847146 686964816 725129528 815770719 1087694292 1450259056 1631541438 2175388584 3263082876 4350777168 6526165752 13052331504