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10870798055040 = 27325711217131071
BaseRepresentation
bin1001111000110000111000…
…0011100111011010000000
31102111020102121101211101200
42132030032003213122000
52411101343300230130
635041550425301200
72201250336602130
oct236141603473200
942436377354350
1010870798055040
113511309112400
121276a00334800
1360b15b9a1051
1429821408aac0
1513cb93936760
hex9e30e0e7680

10870798055040 has 1152 divisors, whose sum is σ = 49929686876160. Its totient is φ = 2125976371200.

The previous prime is 10870798054997. The next prime is 10870798055101. The reversal of 10870798055040 is 4055089707801.

10870798055040 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 0 + 7 + 9 + 80 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×108707980550402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82872705 + ... + 83003775.

It is an arithmetic number, because the mean of its divisors is an integer number (43341742080).

Almost surely, 210870798055040 is an apocalyptic number.

10870798055040 is a gapful number since it is divisible by the number (10) 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 10870798055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964843438080).

10870798055040 is an abundant number, since it is smaller than the sum of its proper divisors (39058888821120).

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

10870798055040 is a wasteful number, since it uses less digits than its factorization.

10870798055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131142 (or 131116 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 10870798055040 in words is "ten trillion, eight hundred seventy billion, seven hundred ninety-eight million, fifty-five thousand, forty".