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10331553344 = 267177318583
BaseRepresentation
bin10011001111100111…
…01111111001000000
3222200000122021210212
421213303233321000
5132124334201334
64425105013252
7514011516530
oct114763577100
928600567725
1010331553344
11442198aa42
122004024228
13c885b5298
147001cb4c0
15407050ece
hex267cefe40

10331553344 has 112 divisors (see below), whose sum is σ = 25149950208. Its totient is φ = 4110041088.

The previous prime is 10331553319. The next prime is 10331553359. The reversal of 10331553344 is 44335513301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10331553344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546677 + ... + 565259.

Almost surely, 210331553344 is an apocalyptic number.

10331553344 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 10331553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574975104).

10331553344 is an abundant number, since it is smaller than the sum of its proper divisors (14818396864).

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

10331553344 is a wasteful number, since it uses less digits than its factorization.

10331553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18692 (or 18682 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 10331553344 in words is "ten billion, three hundred thirty-one million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 73 112 119 136 146 224 238 272 292 448 476 511 544 584 952 1022 1088 1168 1241 1904 2044 2336 2482 3808 4088 4672 4964 7616 8176 8687 9928 16352 17374 18583 19856 32704 34748 37166 39712 69496 74332 79424 130081 138992 148664 260162 277984 297328 315911 520324 555968 594656 631822 1040648 1189312 1263644 1356559 2081296 2211377 2527288 2713118 4162592 4422754 5054576 5426236 8325184 8845508 9495913 10109152 10852472 17691016 18991826 20218304 21704944 23061503 35382032 37983652 43409888 46123006 70764064 75967304 86819776 92246012 141528128 151934608 161430521 184492024 303869216 322861042 368984048 607738432 645722084 737968096 1291444168 1475936192 2582888336 5165776672 10331553344