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13382517232 = 2471726432
BaseRepresentation
bin11000111011010100…
…10000000111110000
31021112122120022110101
430131222100013300
5204401411022412
610051533442144
7652426343140
oct143552200760
937478508411
1013382517232
11574809a2a7
122715940354
131353701866
1490d49c920
15534d10457
hex31da901f0

13382517232 has 90 divisors (see below), whose sum is σ = 31527384648. Its totient is φ = 5389595136.

The previous prime is 13382517199. The next prime is 13382517241. The reversal of 13382517232 is 23271528331.

It is a junction number, because it is equal to n+sod(n) for n = 13382517191 and 13382517200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20812303 + ... + 20812945.

Almost surely, 213382517232 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 13382517232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763692324).

13382517232 is an abundant number, since it is smaller than the sum of its proper divisors (18144867416).

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

13382517232 is an frugal number, since it uses more digits than its factorization.

13382517232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 669 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 13382517232 in words is "thirteen billion, three hundred eighty-two million, five hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 643 952 1156 1286 1904 2023 2312 2572 4046 4501 4624 5144 8092 9002 10288 10931 16184 18004 21862 32368 36008 43724 72016 76517 87448 153034 174896 185827 306068 371654 413449 612136 743308 826898 1224272 1300789 1486616 1653796 2601578 2894143 2973232 3307592 5203156 5788286 6615184 7028633 10406312 11576572 14057266 20812624 23153144 28114532 46306288 49200431 56229064 98400862 112458128 119486761 196801724 238973522 393603448 477947044 787206896 836407327 955894088 1672814654 1911788176 3345629308 6691258616 13382517232