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1109697073056 = 25321113316114249
BaseRepresentation
bin10000001001011111000…
…110011000111110100000
310221002022200211010012200
4100021133012120332200
5121140124422314211
62205442055253200
7143113220326365
oct20113706307640
93832280733180
101109697073056
11398690082560
1215b09737a200
138084aab1620
143b9d12d446c
151dcebe72b56
hex1025f198fa0

1109697073056 has 576 divisors, whose sum is σ = 3890001024000. Its totient is φ = 295446528000.

The previous prime is 1109697073007. The next prime is 1109697073091. The reversal of 1109697073056 is 6503707969011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1109697072993 and 1109697073011.

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, 77871820 + ... + 77886068.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474000).

Almost surely, 21109697073056 is an apocalyptic number.

1109697073056 is a gapful number since it is divisible by the number (16) 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 1109697073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945000512000).

1109697073056 is an abundant number, since it is smaller than the sum of its proper divisors (2780303950944).

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

1109697073056 is a wasteful number, since it uses less digits than its factorization.

1109697073056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14381 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 1109697073056 in words is "one trillion, one hundred nine billion, six hundred ninety-seven million, seventy-three thousand, fifty-six".