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109770198720 = 263571319411613
BaseRepresentation
bin110011000111011010…
…0000100111011000000
3101111100001222212021120
41212032310010323000
53244302132324340
6122232220152240
710634131202610
oct1461664047300
9344301885246
10109770198720
114260a462aa6
1219335998680
13a474a0a210
145454884a40
152cc6d534d0
hex198ed04ec0

109770198720 has 896 divisors, whose sum is σ = 462823925760. Its totient is φ = 21392916480.

The previous prime is 109770198709. The next prime is 109770198731. The reversal of 109770198720 is 27891077901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109770198709) and next prime (109770198731).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68052634 + ... + 68054246.

It is an arithmetic number, because the mean of its divisors is an integer number (516544560).

Almost surely, 2109770198720 is an apocalyptic number.

109770198720 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 109770198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231411962880).

109770198720 is an abundant number, since it is smaller than the sum of its proper divisors (353053727040).

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

109770198720 is a wasteful number, since it uses less digits than its factorization.

109770198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 51.

The spelling of 109770198720 in words is "one hundred nine billion, seven hundred seventy million, one hundred ninety-eight thousand, seven hundred twenty".