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109687864448 = 273135717741
BaseRepresentation
bin110011000100111100…
…1111111110010000000
3101111010100001211220002
41212021321333302000
53244120043130243
6122220115335132
710632111315161
oct1461171776200
9344110054802
10109687864448
1142577a38048
12193122b14a8
13a460940506
145447971768
152cbe9dceb8
hex1989e7fc80

109687864448 has 64 divisors (see below), whose sum is σ = 225660099840. Its totient is φ = 53053056000.

The previous prime is 109687864397. The next prime is 109687864459. The reversal of 109687864448 is 844468786901.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14165858 + ... + 14173598.

It is an arithmetic number, because the mean of its divisors is an integer number (3525939060).

Almost surely, 2109687864448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109687864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112830049920).

109687864448 is an abundant number, since it is smaller than the sum of its proper divisors (115972235392).

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

109687864448 is an equidigital number, since it uses as much as digits as its factorization.

109687864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 65.

The spelling of 109687864448 in words is "one hundred nine billion, six hundred eighty-seven million, eight hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3571 3968 7142 7741 14284 15482 28568 30964 57136 61928 110701 114272 123856 221402 228544 239971 247712 442804 457088 479942 495424 885608 959884 990848 1771216 1919768 3542432 3839536 7084864 7679072 14169728 15358144 27643111 30716288 55286222 110572444 221144888 442289776 856936441 884579552 1713872882 1769159104 3427745764 3538318208 6855491528 13710983056 27421966112 54843932224 109687864448