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106296643044 = 22327733819773
BaseRepresentation
bin110001011111111000…
…1100000110111100100
3101011100222212221200100
41202333301200313210
53220143420034134
6120455413544100
710452062362254
oct1427761406744
9334328787610
10106296643044
1141097758229
1218726645030
13a04019c327
14520540b964
152b71e1b999
hex18bfc60de4

106296643044 has 36 divisors (see below), whose sum is σ = 269041961916. Its totient is φ = 35386367808.

The previous prime is 106296643043. The next prime is 106296643073. The reversal of 106296643044 is 440346692601.

106296643044 is a `hidden beast` number, since 10 + 629 + 6 + 6 + 4 + 3 + 0 + 4 + 4 = 666.

106296643044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35151750144 + 71144892900 = 187488^2 + 266730^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1062966430442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106296643043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882059 + ... + 1937714.

It is an arithmetic number, because the mean of its divisors is an integer number (7473387831).

Almost surely, 2106296643044 is an apocalyptic number.

It is an amenable number.

106296643044 is an abundant number, since it is smaller than the sum of its proper divisors (162745318872).

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

106296643044 is a wasteful number, since it uses less digits than its factorization.

106296643044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820556 (or 3820551 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 106296643044 in words is "one hundred six billion, two hundred ninety-six million, six hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 6957 9276 13914 27828 3819773 7639546 11459319 15279092 22918638 34377957 45837276 68755914 137511828 2952684529 5905369058 8858053587 11810738116 17716107174 26574160761 35432214348 53148321522 106296643044