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10383376896 = 29323760901
BaseRepresentation
bin10011010101110010…
…11100001000000000
3222210122011012100200
421222321130020000
5132231121030041
64434155445200
7515211150564
oct115271341000
928718135320
1010383376896
114449166822
122019456800
13c9625b6c9
1470703b6a4
1540b88b1b6
hex26ae5c200

10383376896 has 120 divisors (see below), whose sum is σ = 30777556524. Its totient is φ = 3367526400.

The previous prime is 10383376879. The next prime is 10383376897. The reversal of 10383376896 is 69867338301.

10383376896 is a `hidden beast` number, since 103 + 83 + 376 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10112313600 + 271063296 = 100560^2 + 16464^2 .

It is not an unprimeable number, because it can be changed into a prime (10383376897) 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 11 ways as a sum of consecutive naturals, for example, 140046 + ... + 200946.

Almost surely, 210383376896 is an apocalyptic number.

10383376896 is a gapful number since it is divisible by the number (16) 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 10383376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388778262).

10383376896 is an abundant number, since it is smaller than the sum of its proper divisors (20394179628).

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

10383376896 is an equidigital number, since it uses as much as digits as its factorization.

10383376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60962 (or 60943 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 10383376896 in words is "ten billion, three hundred eighty-three million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 60901 85248 121802 170496 182703 243604 365406 487208 548109 730812 974416 1096218 1461624 1948832 2192436 2253337 2923248 3897664 4384872 4506674 5846496 6760011 7795328 8769744 9013348 11692992 13520022 15590656 17539488 18026696 20280033 23385984 27040044 31181312 35078976 36053392 40560066 46771968 54080088 70157952 72106784 81120132 93543936 108160176 140315904 144213568 162240264 216320352 280631808 288427136 324480528 432640704 576854272 648961056 865281408 1153708544 1297922112 1730562816 2595844224 3461125632 5191688448 10383376896