Search a number
-
+
14552339704 = 23719127107693
BaseRepresentation
bin11011000110110001…
…10001010011111000
31101120011210110012121
431203120301103320
5214300344332304
610404003051024
71023422563240
oct154330612370
941504713177
1014552339704
116198464231
1229a1670a74
1314abb8b2c6
149c09b4b20
155a2889554
hex3636314f8

14552339704 has 64 divisors (see below), whose sum is σ = 33083596800. Its totient is φ = 5861890944.

The previous prime is 14552339639. The next prime is 14552339741. The reversal of 14552339704 is 40793325541.

14552339704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145523397042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81282 + ... + 188974.

It is an arithmetic number, because the mean of its divisors is an integer number (516931200).

Almost surely, 214552339704 is an apocalyptic number.

14552339704 is a gapful number since it is divisible by the number (14) 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 14552339704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541798400).

14552339704 is an abundant number, since it is smaller than the sum of its proper divisors (18531257096).

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

14552339704 is a wasteful number, since it uses less digits than its factorization.

14552339704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107852 (or 107848 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 14552339704 in words is "fourteen billion, five hundred fifty-two million, three hundred thirty-nine thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 127 133 152 254 266 508 532 889 1016 1064 1778 2413 3556 4826 7112 9652 16891 19304 33782 67564 107693 135128 215386 430772 753851 861544 1507702 2046167 3015404 4092334 6030808 8184668 13677011 14323169 16369336 27354022 28646338 54708044 57292676 95739077 109416088 114585352 191478154 259863209 382956308 519726418 765912616 1039452836 1819042463 2078905672 3638084926 7276169852 14552339704