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13505700832 = 2513235326633
BaseRepresentation
bin11001001010000000…
…01010001111100000
31021212020100200120221
430211000022033200
5210124424411312
610112054012424
7655453364041
oct144500121740
937766320527
1013505700832
115800685a28
12274b047114
1313730a1870
149219a68c8
15540a44207
hex32500a3e0

13505700832 has 96 divisors (see below), whose sum is σ = 30444579648. Its totient is φ = 5849665536.

The previous prime is 13505700787. The next prime is 13505700841. The reversal of 13505700832 is 23800750531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493788 + ... + 520420.

It is an arithmetic number, because the mean of its divisors is an integer number (317131038).

Almost surely, 213505700832 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 13505700832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222289824).

13505700832 is an abundant number, since it is smaller than the sum of its proper divisors (16938878816).

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

13505700832 is a wasteful number, since it uses less digits than its factorization.

13505700832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26732 (or 26724 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 13505700832 in words is "thirteen billion, five hundred five million, seven hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 92 104 106 184 208 212 299 368 416 424 598 689 736 848 1196 1219 1378 1696 2392 2438 2756 4784 4876 5512 9568 9752 11024 15847 19504 22048 26633 31694 39008 53266 63388 106532 126776 213064 253552 346229 426128 507104 612559 692458 852256 1225118 1384916 1411549 2450236 2769832 2823098 4900472 5539664 5646196 7963267 9800944 11079328 11292392 15926534 18350137 19601888 22584784 31853068 32465627 36700274 45169568 63706136 64931254 73400548 127412272 129862508 146801096 254824544 259725016 293602192 422053151 519450032 587204384 844106302 1038900064 1688212604 3376425208 6752850416 13505700832