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105918211504 = 247945698317
BaseRepresentation
bin110001010100100110…
…1111010010110110000
3101010101121210122012101
41202221031322112300
53213410030232004
6120354054510144
710436515641310
oct1425115722660
9333347718171
10105918211504
1140a13083a96
121863b965354
139cac970041
1451ab05d440
152b4dab8ba4
hex18a937a5b0

105918211504 has 20 divisors (see below), whose sum is σ = 234533182864. Its totient is φ = 45393519168.

The previous prime is 105918211501. The next prime is 105918211519. The reversal of 105918211504 is 405112819501.

It is a happy number.

It is a super-2 number, since 2×1059182115042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105918211501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472849047 + ... + 472849270.

Almost surely, 2105918211504 is an apocalyptic number.

105918211504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105918211504 is an abundant number, since it is smaller than the sum of its proper divisors (128614971360).

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

105918211504 is an equidigital number, since it uses as much as digits as its factorization.

105918211504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945698332 (or 945698326 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 37.

The spelling of 105918211504 in words is "one hundred five billion, nine hundred eighteen million, two hundred eleven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 945698317 1891396634 3782793268 6619888219 7565586536 13239776438 15131173072 26479552876 52959105752 105918211504