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109260615376 = 241119182317923
BaseRepresentation
bin110010111000001110…
…0001010111011010000
3101110000120010100100101
41211300130022323100
53242231204143001
6122105454102144
710615402623103
oct1456034127320
9343016110311
10109260615376
1142378850540
12192131aa954
13a3c327b103
145406d1673a
152c97245a01
hex197070aed0

109260615376 has 80 divisors (see below), whose sum is σ = 243238717440. Its totient is φ = 47021592960.

The previous prime is 109260615367. The next prime is 109260615389. The reversal of 109260615376 is 673516062901.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6087151 + ... + 6105073.

It is an arithmetic number, because the mean of its divisors is an integer number (3040483968).

Almost surely, 2109260615376 is an apocalyptic number.

109260615376 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 109260615376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121619358720).

109260615376 is an abundant number, since it is smaller than the sum of its proper divisors (133978102064).

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

109260615376 is a wasteful number, since it uses less digits than its factorization.

109260615376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19784 (or 19778 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 109260615376 in words is "one hundred nine billion, two hundred sixty million, six hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 1823 3344 3646 7292 14584 17923 20053 29168 34637 35846 40106 69274 71692 80212 138548 143384 160424 197153 277096 286768 320848 340537 381007 394306 554192 681074 762014 788612 1362148 1524028 1577224 2724296 3048056 3154448 3745907 5448592 6096112 7491814 14983628 29967256 32673629 59934512 65347258 130694516 261389032 359409919 522778064 620798951 718819838 1241597902 1437639676 2483195804 2875279352 4966391608 5750558704 6828788461 9932783216 13657576922 27315153844 54630307688 109260615376