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13152432132 = 2233782321139
BaseRepresentation
bin11000011111111001…
…00011000000000100
31020221121121210001000
430033330203000010
5203414010312012
610013034133300
7643633554120
oct141774430004
936847553030
1013152432132
11563a228a24
122670881230
131317b42928
148caac8580
1551ea11ddc
hex30ff23004

13152432132 has 96 divisors (see below), whose sum is σ = 39019366400. Its totient is φ = 3753094176.

The previous prime is 13152432131. The next prime is 13152432173. The reversal of 13152432132 is 23123425131.

13152432132 is a `hidden beast` number, since 1 + 3 + 1 + 524 + 3 + 2 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13152432096 and 13152432105.

It is not an unprimeable number, because it can be changed into a prime (13152432131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611619 + ... + 632757.

Almost surely, 213152432132 is an apocalyptic number.

13152432132 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 13152432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509683200).

13152432132 is an abundant number, since it is smaller than the sum of its proper divisors (25866934268).

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

13152432132 is a wasteful number, since it uses less digits than its factorization.

13152432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21982 (or 21974 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 13152432132 its reverse (23123425131), we get a palindrome (36275857263).

The spelling of 13152432132 in words is "thirteen billion, one hundred fifty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 823 1646 2469 3292 4938 5761 7407 9876 11522 14814 17283 21139 22221 23044 29628 34566 42278 44442 51849 63417 69132 84556 88884 103698 126834 147973 155547 190251 207396 253668 295946 311094 380502 443919 570753 591892 622188 761004 887838 1141506 1331757 1775676 2283012 2663514 3995271 5327028 7990542 15981084 17397397 34794794 52192191 69589588 104384382 121781779 156576573 208768764 243563558 313153146 365345337 469729719 487127116 626306292 730690674 939459438 1096036011 1461381348 1878918876 2192072022 3288108033 4384144044 6576216066 13152432132