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109299506823936 = 283711131519041
BaseRepresentation
bin11000110110100001000110…
…010001110100001100000000
3112022222221010120001110000000
4120312201012101310030000
5103311230342221331221
61024243300020000000
732010425446000122
oct3066410621641400
9468887116043000
10109299506823936
113190a72a196080
1210312b87830000
1348cab8c8cb480
141cdc1a533d212
15c981e71dde26
hex636846474300

109299506823936 has 1152 divisors, whose sum is σ = 387001025832960. Its totient is φ = 30367457280000.

The previous prime is 109299506823931. The next prime is 109299506823953. The reversal of 109299506823936 is 639328605992901.

109299506823936 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 9 + 9 + 506 + 8 + 23 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (109299506823931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12089311576 + ... + 12089320616.

It is an arithmetic number, because the mean of its divisors is an integer number (335938390480).

Almost surely, 2109299506823936 is an apocalyptic number.

109299506823936 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 109299506823936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193500512916480).

109299506823936 is an abundant number, since it is smaller than the sum of its proper divisors (277701519009024).

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

109299506823936 is an equidigital number, since it uses as much as digits as its factorization.

109299506823936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 109299506823936 in words is "one hundred nine trillion, two hundred ninety-nine billion, five hundred six million, eight hundred twenty-three thousand, nine hundred thirty-six".