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13525274752 = 2711232411733
BaseRepresentation
bin11001001100010101…
…10101000010000000
31021220121012010221221
430212022311002000
5210144432243002
610114033324424
7656111636623
oct144612650200
937817163857
1013525274752
115810735120
122755706714
131377166072
1492441ddba
1554260dc37
hex3262b5080

13525274752 has 128 divisors (see below), whose sum is σ = 30817480320. Its totient is φ = 5852774400.

The previous prime is 13525274747. The next prime is 13525274771. The reversal of 13525274752 is 25747252531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13525274699 and 13525274708.

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, 7803678 + ... + 7805410.

It is an arithmetic number, because the mean of its divisors is an integer number (240761565).

Almost surely, 213525274752 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 13525274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408740160).

13525274752 is an abundant number, since it is smaller than the sum of its proper divisors (17292205568).

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

13525274752 is a wasteful number, since it uses less digits than its factorization.

13525274752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2010 counting only the distinct ones).

The product of its digits is 588000, while the sum is 43.

It can be divided in two parts, 1352 and 5274752, that multiplied together give a square (7131464704 = 844482).

The spelling of 13525274752 in words is "thirteen billion, five hundred twenty-five million, two hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 241 253 352 368 482 506 704 736 964 1012 1408 1472 1733 1928 2024 2651 2944 3466 3856 4048 5302 5543 6932 7712 8096 10604 11086 13864 15424 16192 19063 21208 22172 27728 30848 32384 38126 39859 42416 44344 55456 60973 76252 79718 84832 88688 110912 121946 152504 159436 169664 177376 221824 243892 305008 318872 339328 354752 417653 438449 487784 610016 637744 709504 835306 876898 975568 1220032 1275488 1670612 1753796 1951136 2440064 2550976 3341224 3507592 3902272 4594183 5101952 6682448 7015184 7804544 9188366 9606019 13364896 14030368 18376732 19212038 26729792 28060736 36753464 38424076 53459584 56121472 73506928 76848152 105666209 147013856 153696304 211332418 294027712 307392608 422664836 588055424 614785216 845329672 1229570432 1690659344 3381318688 6762637376 13525274752