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14792397376 = 262326612
BaseRepresentation
bin11011100011011001…
…00001001001000000
31102011220111122102111
431301230201021000
5220243323204001
610443500225104
71032366205651
oct156154411100
942156448374
1014792397376
116300a170a9
122a49b3b194
13151982c473
14a04823528
155b89a7851
hex371b21240

14792397376 has 63 divisors (see below), whose sum is σ = 30731891673. Its totient is φ = 7063921920.

The previous prime is 14792397371. The next prime is 14792397377. The reversal of 14792397376 is 67379329741.

The square root of 14792397376 is 121624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11745357376 + 3047040000 = 108376^2 + 55200^2 .

It is a Duffinian number.

Its product of digits (12002256) is a multiple of the sum of its prime divisors (686).

It is a self number, because there is not a number n which added to its sum of digits gives 14792397376.

It is not an unprimeable number, because it can be changed into a prime (14792397371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22378486 + ... + 22379146.

Almost surely, 214792397376 is an apocalyptic number.

14792397376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14792397376 is the 121624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14792397376

14792397376 is an abundant number, since it is smaller than the sum of its proper divisors (15939494297).

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

14792397376 is an frugal number, since it uses more digits than its factorization.

14792397376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 686 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 58.

The spelling of 14792397376 in words is "fourteen billion, seven hundred ninety-two million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 661 736 1058 1322 1472 2116 2644 4232 5288 8464 10576 15203 16928 21152 30406 33856 42304 60812 121624 243248 349669 436921 486496 699338 873842 972992 1398676 1747684 2797352 3495368 5594704 6990736 10049183 11189408 13981472 20098366 22378816 27962944 40196732 80393464 160786928 231131209 321573856 462262418 643147712 924524836 1849049672 3698099344 7396198688 14792397376