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10374644736 = 2103210612
BaseRepresentation
bin10011010100110000…
…01000010000000000
3222210000201120002100
421222120020100000
5132221402112421
64433244350400
7515044011441
oct115230102000
928700646070
1010374644736
114444242165
122016545400
13c944c1c51
14705c072c8
1540ac13c26
hex26a608400

10374644736 has 99 divisors (see below), whose sum is σ = 29984822413. Its totient is φ = 3454955520.

The previous prime is 10374644719. The next prime is 10374644741. The reversal of 10374644736 is 63744647301.

The square root of 10374644736 is 101856.

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

10374644736 is a `hidden beast` number, since 103 + 74 + 6 + 4 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6832014336 + 3542630400 = 82656^2 + 59520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10374644691 and 10374644700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9777646 + ... + 9778706.

Almost surely, 210374644736 is an apocalyptic number.

10374644736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10374644736 is the 101856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10374644736

10374644736 is an abundant number, since it is smaller than the sum of its proper divisors (19610177677).

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

10374644736 is an frugal number, since it uses more digits than its factorization.

10374644736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 10374644736 in words is "ten billion, three hundred seventy-four million, six hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1061 1152 1536 2122 2304 3072 3183 4244 4608 6366 8488 9216 9549 12732 16976 19098 25464 33952 38196 50928 67904 76392 101856 135808 152784 203712 271616 305568 407424 543232 611136 814848 1086464 1125721 1222272 1629696 2251442 2444544 3259392 3377163 4502884 4889088 6754326 9005768 9778176 10131489 13508652 18011536 20262978 27017304 36023072 40525956 54034608 72046144 81051912 108069216 144092288 162103824 216138432 288184576 324207648 432276864 576369152 648415296 864553728 1152738304 1296830592 1729107456 2593661184 3458214912 5187322368 10374644736