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14417071552 = 2613891131723
BaseRepresentation
bin11010110110101001…
…10000110111000000
31101012202021010012001
431123110300313000
5214011232242202
610342331513344
71020161041402
oct153324606700
941182233161
1014417071552
116129074274
1229642b8854
131489b49990
149aaa42b72
15595a69d87
hex35b530dc0

14417071552 has 112 divisors (see below), whose sum is σ = 31449690720. Its totient is φ = 6517260288.

The previous prime is 14417071547. The next prime is 14417071567. The reversal of 14417071552 is 25517071441.

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, 8366563 + ... + 8368285.

It is an arithmetic number, because the mean of its divisors is an integer number (280800810).

Almost surely, 214417071552 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 14417071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724845360).

14417071552 is an abundant number, since it is smaller than the sum of its proper divisors (17032619168).

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

14417071552 is a wasteful number, since it uses less digits than its factorization.

14417071552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The spelling of 14417071552 in words is "fourteen billion, four hundred seventeen million, seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 113 178 208 226 356 416 452 712 832 904 1157 1424 1469 1723 1808 2314 2848 2938 3446 3616 4628 5696 5876 6892 7232 9256 10057 11752 13784 18512 20114 22399 23504 27568 37024 40228 44798 47008 55136 74048 80456 89596 94016 110272 130741 153347 160912 179192 194699 261482 306694 321824 358384 389398 522964 613388 643648 716768 778796 1045928 1226776 1433536 1557592 1993511 2091856 2453552 2531087 3115184 3987022 4183712 4907104 5062174 6230368 7974044 8367424 9814208 10124348 12460736 15948088 17328211 20248696 31896176 34656422 40497392 63792352 69312844 80994784 127584704 138625688 161989568 225266743 277251376 450533486 554502752 901066972 1109005504 1802133944 3604267888 7208535776 14417071552