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11771102976 = 28389172213
BaseRepresentation
bin10101111011001110…
…01100011100000000
31010101100101222122220
422331213030130000
5143101400243401
65224011331040
7564461503323
oct127547143400
933340358586
1011771102976
114aa0531986
122346150a80
1311579005b9
147d94767ba
1548d609336
hex2bd9cc700

11771102976 has 72 divisors (see below), whose sum is σ = 31680487440. Its totient is φ = 3879591936.

The previous prime is 11771102963. The next prime is 11771103007. The reversal of 11771102976 is 67920117711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17755 + ... + 154458.

It is an arithmetic number, because the mean of its divisors is an integer number (440006770).

Almost surely, 211771102976 is an apocalyptic number.

11771102976 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 11771102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840243720).

11771102976 is an abundant number, since it is smaller than the sum of its proper divisors (19909384464).

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

11771102976 is an equidigital number, since it uses as much as digits as its factorization.

11771102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172321 (or 172307 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 42.

The spelling of 11771102976 in words is "eleven billion, seven hundred seventy-one million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 534 712 768 1068 1424 2136 2848 4272 5696 8544 11392 17088 22784 34176 68352 172213 344426 516639 688852 1033278 1377704 2066556 2755408 4133112 5510816 8266224 11021632 15326957 16532448 22043264 30653914 33064896 44086528 45980871 61307828 66129792 91961742 122615656 132259584 183923484 245231312 367846968 490462624 735693936 980925248 1471387872 1961850496 2942775744 3923700992 5885551488 11771102976