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10616274944 = 2151129453
BaseRepresentation
bin10011110001100011…
…11000000000000000
31000101212101122102022
421320301320000000
5133220231244234
64513235341012
7524036563622
oct117061700000
930355348368
1010616274944
114558679550
122083451768
131002593ac2
14729d44c12
15422042e2e
hex278c78000

10616274944 has 64 divisors (see below), whose sum is σ = 23163214680. Its totient is φ = 4825415680.

The previous prime is 10616274943. The next prime is 10616274959. The reversal of 10616274944 is 44947261601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106162749442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10616274895 and 10616274904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616274943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345722 + ... + 375174.

Almost surely, 210616274944 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 10616274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581607340).

10616274944 is an abundant number, since it is smaller than the sum of its proper divisors (12546939736).

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

10616274944 is an frugal number, since it uses more digits than its factorization.

10616274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29494 (or 29466 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 10616274944 in words is "ten billion, six hundred sixteen million, two hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 16384 22528 29453 32768 45056 58906 90112 117812 180224 235624 323983 360448 471248 647966 942496 1295932 1884992 2591864 3769984 5183728 7539968 10367456 15079936 20734912 30159872 41469824 60319744 82939648 120639488 165879296 241278976 331758592 482557952 663517184 965115904 1327034368 2654068736 5308137472 10616274944