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10981668336 = 2431976115823
BaseRepresentation
bin10100011101000111…
…01111010111110000
31001100022221112220220
422032203233113300
5134442301341321
65013411133040
7536064432522
oct121643572760
931308845826
1010981668336
114725957a61
1221658a4180
1310601a9702
1476269ba12
1544416c9c6
hex28e8ef5f0

10981668336 has 80 divisors (see below), whose sum is σ = 29903562240. Its totient is φ = 3463119360.

The previous prime is 10981668319. The next prime is 10981668353. The reversal of 10981668336 is 63386618901.

It is an interprime number because it is at equal distance from previous prime (10981668319) and next prime (10981668353).

It is a congruent number.

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, 686121 + ... + 701943.

It is an arithmetic number, because the mean of its divisors is an integer number (373794528).

Almost surely, 210981668336 is an apocalyptic number.

10981668336 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 10981668336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951781120).

10981668336 is an abundant number, since it is smaller than the sum of its proper divisors (18921893904).

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

10981668336 is a wasteful number, since it uses less digits than its factorization.

10981668336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614 (or 16608 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10981668336 in words is "ten billion, nine hundred eighty-one million, six hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 761 912 1522 2283 3044 4566 6088 9132 12176 14459 15823 18264 28918 31646 36528 43377 47469 57836 63292 86754 94938 115672 126584 173508 189876 231344 253168 300637 347016 379752 601274 694032 759504 901911 1202548 1803822 2405096 3607644 4810192 7215288 12041303 14430576 24082606 36123909 48165212 72247818 96330424 144495636 192660848 228784757 288991272 457569514 577982544 686354271 915139028 1372708542 1830278056 2745417084 3660556112 5490834168 10981668336