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1010993496264 = 2332231955331223
BaseRepresentation
bin11101011011000111110…
…10001000000011001000
310120122112212121220021100
432231203322020003020
5113031003313340024
62052235523141400
7133020234633363
oct16554372100310
93518485556240
101010993496264
1135a83a5213a4
12143b2b814860
137444aa56b0b
1436d0a5030da
151b47196d7c9
hexeb63e880c8

1010993496264 has 96 divisors (see below), whose sum is σ = 2857393169280. Its totient is φ = 322318943232.

The previous prime is 1010993496263. The next prime is 1010993496283. The reversal of 1010993496264 is 4626943990101.

It is a happy number.

1010993496264 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 9 + 9 + 3 + 4 + 9 + 626 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1010993496264.

It is not an unprimeable number, because it can be changed into a prime (1010993496263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32364157 + ... + 32395379.

It is an arithmetic number, because the mean of its divisors is an integer number (29764512180).

Almost surely, 21010993496264 is an apocalyptic number.

It is an amenable number.

1010993496264 is an abundant number, since it is smaller than the sum of its proper divisors (1846399673016).

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

1010993496264 is a wasteful number, since it uses less digits than its factorization.

1010993496264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50811 (or 50804 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1010993496264 in words is "one trillion, ten billion, nine hundred ninety-three million, four hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 19553 31223 39106 58659 62446 78212 93669 117318 124892 156424 175977 187338 234636 249784 281007 351954 374676 449719 469272 562014 703908 718129 749352 899438 1124028 1349157 1407816 1436258 1798876 2154387 2248056 2698314 2872516 3597752 4047471 4308774 5396628 5745032 6463161 8094942 8617548 10793256 12926322 16189884 17235096 25852644 32379768 51705288 610503319 1221006638 1831509957 2442013276 3663019914 4884026552 5494529871 7326039828 10989059742 14041576337 14652079656 21978119484 28083152674 42124729011 43956238968 56166305348 84249458022 112332610696 126374187033 168498916044 252748374066 336997832088 505496748132 1010993496264