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1061107789104 = 2432114328355049
BaseRepresentation
bin11110111000011101111…
…00111110110100110000
310202102220102111202012100
433130032330332310300
5114341122043222404
62131244410300400
7136443145250406
oct17341674766460
93672812452170
101061107789104
1137a016758340
12151796a27700
13790a63a2b2c
14395020a5476
151c90638cd39
hexf70ef3ed30

1061107789104 has 240 divisors, whose sum is σ = 3326707612800. Its totient is φ = 312954485760.

The previous prime is 1061107789057. The next prime is 1061107789109. The reversal of 1061107789104 is 4019877011601.

1061107789104 is a `hidden beast` number, since 10 + 611 + 0 + 7 + 7 + 8 + 9 + 10 + 4 = 666.

It is a super-2 number, since 2×10611077891042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061107789104.

It is not an unprimeable number, because it can be changed into a prime (1061107789109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19248172 + ... + 19303220.

It is an arithmetic number, because the mean of its divisors is an integer number (13861281720).

Almost surely, 21061107789104 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 1061107789104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663353806400).

1061107789104 is an abundant number, since it is smaller than the sum of its proper divisors (2265599823696).

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

1061107789104 is a wasteful number, since it uses less digits than its factorization.

1061107789104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55400 (or 55391 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1061107789104 in words is "one trillion, sixty-one billion, one hundred seven million, seven hundred eighty-nine thousand, one hundred four".