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109396924416 = 21132131924029
BaseRepresentation
bin110010111100010010…
…0001001100000000000
3101110101001121120012100
41211320210021200000
53243021103040131
6122131203430400
710621646341413
oct1457044114000
9343331546170
10109396924416
114243879153a
1219250985400
13a415595450
14541b079b7a
152ca41bd7e6
hex1978909800

109396924416 has 288 divisors, whose sum is σ = 358186374000. Its totient is φ = 31887654912.

The previous prime is 109396924411. The next prime is 109396924423. The reversal of 109396924416 is 614429693901.

It is a happy number.

109396924416 is a `hidden beast` number, since 1 + 0 + 9 + 396 + 9 + 244 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109396924411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4540690 + ... + 4564718.

Almost surely, 2109396924416 is an apocalyptic number.

109396924416 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 109396924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179093187000).

109396924416 is an abundant number, since it is smaller than the sum of its proper divisors (248789449584).

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

109396924416 is a wasteful number, since it uses less digits than its factorization.

109396924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24089 (or 24066 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 109396924416 in words is "one hundred nine billion, three hundred ninety-six million, nine hundred twenty-four thousand, four hundred sixteen".