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10791370848 = 2531277691151
BaseRepresentation
bin10100000110011011…
…10100000001100000
31000212001212102211210
422003031310001200
5134100042331343
64542452310120
7531264065406
oct120315640140
930761772753
1010791370848
1146384a1705
122112012340
13102c93b74b
147452c3476
154325cd333
hex283374060

10791370848 has 96 divisors (see below), whose sum is σ = 28612362240. Its totient is φ = 3561062400.

The previous prime is 10791370819. The next prime is 10791370861. The reversal of 10791370848 is 84807319701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10791370797 and 10791370806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9375073 + ... + 9376223.

It is an arithmetic number, because the mean of its divisors is an integer number (298045440).

Almost surely, 210791370848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10791370848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306181120).

10791370848 is an abundant number, since it is smaller than the sum of its proper divisors (17820991392).

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

10791370848 is a wasteful number, since it uses less digits than its factorization.

10791370848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10791370848 in words is "ten billion, seven hundred ninety-one million, three hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 769 1016 1151 1524 1538 2032 2302 2307 3048 3076 3453 4064 4604 4614 6096 6152 6906 9208 9228 12192 12304 13812 18416 18456 24608 27624 36832 36912 55248 73824 97663 110496 146177 195326 292354 292989 390652 438531 584708 585978 781304 877062 885119 1169416 1171956 1562608 1754124 1770238 2338832 2343912 2655357 3125216 3508248 3540476 4677664 4687824 5310714 7016496 7080952 9375648 10621428 14032992 14161904 21242856 28323808 42485712 84971424 112410113 224820226 337230339 449640452 674460678 899280904 1348921356 1798561808 2697842712 3597123616 5395685424 10791370848