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11060796672 = 28331978123
BaseRepresentation
bin10100100110100011…
…00101110100000000
31001112211211200121000
422103101211310000
5140123030443142
65025315132000
7541045135422
oct122321456400
931484750530
1011060796672
114766593282
1221882a4000
1310736c3103
1476cdb8812
1544b09d14c
hex293465d00

11060796672 has 144 divisors (see below), whose sum is σ = 32878802880. Its totient is φ = 3667765248.

The previous prime is 11060796671. The next prime is 11060796673. The reversal of 11060796672 is 27669706011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11060796671) and next prime (11060796673).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11060796671) 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 15 ways as a sum of consecutive naturals, for example, 1357603 + ... + 1365725.

It is an arithmetic number, because the mean of its divisors is an integer number (228325020).

Almost surely, 211060796672 is an apocalyptic number.

11060796672 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 11060796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439401440).

11060796672 is an abundant number, since it is smaller than the sum of its proper divisors (21818006208).

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

11060796672 is an equidigital number, since it uses as much as digits as its factorization.

11060796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 11060796672 in words is "eleven billion, sixty million, seven hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 197 216 256 288 384 394 432 576 591 768 788 864 1152 1182 1576 1728 1773 2304 2364 3152 3456 3546 4728 5319 6304 6912 7092 8123 9456 10638 12608 14184 16246 18912 21276 24369 25216 28368 32492 37824 42552 48738 50432 56736 64984 73107 75648 85104 97476 113472 129968 146214 151296 170208 194952 219321 226944 259936 292428 340416 389904 438642 453888 519872 584856 680832 779808 877284 1039744 1169712 1361664 1559616 1600231 1754568 2079488 2339424 3119232 3200462 3509136 4678848 4800693 6238464 6400924 7018272 9357696 9601386 12801848 14036544 14402079 18715392 19202772 25603696 28073088 28804158 38405544 43206237 51207392 56146176 57608316 76811088 86412474 102414784 115216632 153622176 172824948 204829568 230433264 307244352 345649896 409659136 460866528 614488704 691299792 921733056 1228977408 1382599584 1843466112 2765199168 3686932224 5530398336 11060796672