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10381551552 = 263234751941
BaseRepresentation
bin10011010101100100…
…11110011111000000
3222210111201110110100
421222302132133000
5132230134122202
64434052402400
7515156506101
oct115262363700
928714643410
1010381551552
11444812a379
122018916400
13c95a6c918
14706ac43a8
1540b62a41c
hex26ac9e7c0

10381551552 has 84 divisors (see below), whose sum is σ = 29843172216. Its totient is φ = 3450478080.

The previous prime is 10381551541. The next prime is 10381551571. The reversal of 10381551552 is 25515518301.

10381551552 is a `hidden beast` number, since 10 + 3 + 81 + 5 + 515 + 52 = 666.

10381551552 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 2×103815515522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 173902 + ... + 225842.

Almost surely, 210381551552 is an apocalyptic number.

10381551552 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 10381551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921586108).

10381551552 is an abundant number, since it is smaller than the sum of its proper divisors (19461620664).

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

10381551552 is a wasteful number, since it uses less digits than its factorization.

10381551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52306 (or 52293 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 10381551552 in words is "ten billion, three hundred eighty-one million, five hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 347 576 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 11104 12492 16656 22208 24984 33312 49968 51941 66624 99936 103882 155823 199872 207764 311646 415528 467469 623292 831056 934938 1246584 1662112 1869876 2493168 3324224 3739752 4986336 7479504 9972672 14959008 18023527 29918016 36047054 54070581 72094108 108141162 144188216 162211743 216282324 288376432 324423486 432564648 576752864 648846972 865129296 1153505728 1297693944 1730258592 2595387888 3460517184 5190775776 10381551552