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10655198800992 = 253236997218059
BaseRepresentation
bin1001101100001101101101…
…0101101110110001100000
31101201121221010100221012100
42123003123111232301200
52344033321343112432
634354533013130400
72146545521304264
oct233033325566140
941647833327170
1010655198800992
113438931a40809
121241070629a00
135c3a1c93b945
1428ba003540a4
15137275c7b07c
hex9b0db56ec60

10655198800992 has 36 divisors (see below), whose sum is σ = 30300721591140. Its totient is φ = 3551732933568.

The previous prime is 10655198800963. The next prime is 10655198800993. The reversal of 10655198800992 is 29900889155601.

10655198800992 is a `hidden beast` number, since 106 + 5 + 519 + 8 + 8 + 0 + 0 + 9 + 9 + 2 = 666.

10655198800992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106551988009922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655198800993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18498608742 + ... + 18498609317.

It is an arithmetic number, because the mean of its divisors is an integer number (841686710865).

Almost surely, 210655198800992 is an apocalyptic number.

10655198800992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10655198800992 is an abundant number, since it is smaller than the sum of its proper divisors (19645522790148).

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

10655198800992 is a wasteful number, since it uses less digits than its factorization.

10655198800992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36997218075 (or 36997218064 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 10655198800992 in words is "ten trillion, six hundred fifty-five billion, one hundred ninety-eight million, eight hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36997218059 73994436118 110991654177 147988872236 221983308354 295977744472 332974962531 443966616708 591955488944 665949925062 887933233416 1183910977888 1331899850124 1775866466832 2663799700248 3551732933664 5327599400496 10655198800992