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109993364040 = 23357439503593
BaseRepresentation
bin110011001110000011…
…1011000101001001000
3101111220121220211112210
41212130013120221020
53300231300122130
6122310311305120
710642511111430
oct1463407305110
9344817824483
10109993364040
114271442844a
121939867b1a0
13a4ac0155c1
1454763772c0
152cdb7365b0
hex199c1d8a48

109993364040 has 256 divisors, whose sum is σ = 379369267200. Its totient is φ = 24991985664.

The previous prime is 109993364029. The next prime is 109993364069. The reversal of 109993364040 is 40463399901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185485984 + ... + 185486576.

It is an arithmetic number, because the mean of its divisors is an integer number (1481911200).

Almost surely, 2109993364040 is an apocalyptic number.

109993364040 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 109993364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189684633600).

109993364040 is an abundant number, since it is smaller than the sum of its proper divisors (269375903160).

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

109993364040 is a wasteful number, since it uses less digits than its factorization.

109993364040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 109993364040 in words is "one hundred nine billion, nine hundred ninety-three million, three hundred sixty-four thousand, forty".