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109997520192 = 2632719275571
BaseRepresentation
bin110011001110001011…
…1001111010101000000
3101111220220201222201100
41212130113033111000
53300233331121232
6122310540334400
710642561331460
oct1463427172500
9344826658640
10109997520192
1142716806a8a
1219399b44400
13a4acb3c271
145476b39ba0
152cdbca7c7c
hex199c5cf540

109997520192 has 252 divisors, whose sum is σ = 380297045856. Its totient is φ = 29773370880.

The previous prime is 109997520179. The next prime is 109997520203. The reversal of 109997520192 is 291025799901.

109997520192 is a `hidden beast` number, since 10 + 9 + 9 + 97 + 520 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1417767 + ... + 1493337.

Almost surely, 2109997520192 is an apocalyptic number.

109997520192 is a gapful number since it is divisible by the number (12) 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 109997520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190148522928).

109997520192 is an abundant number, since it is smaller than the sum of its proper divisors (270299525664).

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

109997520192 is a wasteful number, since it uses less digits than its factorization.

109997520192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75634 (or 75602 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 109997520192 in words is "one hundred nine billion, nine hundred ninety-seven million, five hundred twenty thousand, one hundred ninety-two".