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1100469428856 = 23327191136831489
BaseRepresentation
bin10000000000111001000…
…101101110001001111000
310220012111121101020001200
4100000321011232021320
5121012230133210411
62201314303014200
7142335441543540
oct20007105561170
93805447336050
101100469428856
11394785337926
12159340b9a360
137ca0a118425
143b397982320
151d95bccae56
hex1003916e278

1100469428856 has 384 divisors, whose sum is σ = 3624948288000. Its totient is φ = 294605144064.

The previous prime is 1100469428833. The next prime is 1100469428867. The reversal of 1100469428856 is 6588249640011.

1100469428856 is a `hidden beast` number, since 1 + 10 + 0 + 469 + 42 + 88 + 56 = 666.

It is a super-2 number, since 2×11004694288562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739065360 + ... + 739066848.

It is an arithmetic number, because the mean of its divisors is an integer number (9439969500).

Almost surely, 21100469428856 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 1100469428856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812474144000).

1100469428856 is an abundant number, since it is smaller than the sum of its proper divisors (2524478859144).

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

1100469428856 is a wasteful number, since it uses less digits than its factorization.

1100469428856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1100469428856 in words is "one trillion, one hundred billion, four hundred sixty-nine million, four hundred twenty-eight thousand, eight hundred fifty-six".