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14802013332 = 2233191739971
BaseRepresentation
bin11011100100100010…
…01100110010010100
31102012120121012001000
431302101030302110
5220303303411312
610444442303300
71032544015551
oct156221146224
942176535030
1014802013332
116306394777
122a511b7b30
13151b818292
14a05c07a28
155b9756adc
hex37244cc94

14802013332 has 96 divisors (see below), whose sum is σ = 38668492800. Its totient is φ = 4896482400.

The previous prime is 14802013313. The next prime is 14802013357. The reversal of 14802013332 is 23331020841.

14802013332 is a `hidden beast` number, since 1 + 480 + 20 + 133 + 32 = 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 = 14802013296 and 14802013305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15243607 + ... + 15244577.

It is an arithmetic number, because the mean of its divisors is an integer number (402796800).

Almost surely, 214802013332 is an apocalyptic number.

14802013332 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 14802013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334246400).

14802013332 is an abundant number, since it is smaller than the sum of its proper divisors (23866479468).

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

14802013332 is a wasteful number, since it uses less digits than its factorization.

14802013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14802013332 in words is "fourteen billion, eight hundred two million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 739 764 971 1146 1478 1719 1942 2217 2292 2913 2956 3438 3884 4434 5157 5826 6651 6876 8739 8868 10314 11652 13302 17478 19953 20628 26217 26604 34956 39906 52434 79812 104868 141149 185461 282298 370922 423447 556383 564596 717569 741844 846894 1112766 1270341 1435138 1669149 1693788 2152707 2225532 2540682 2870276 3338298 3811023 4305414 5007447 5081364 6458121 6676596 7622046 8610828 10014894 12916242 15244092 19374363 20029788 25832484 38748726 77497452 137055679 274111358 411167037 548222716 822334074 1233501111 1644668148 2467002222 3700503333 4934004444 7401006666 14802013332