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109956291040 = 2551740425107
BaseRepresentation
bin110011001100111100…
…1111101100111100000
3101111211001011022221201
41212121321331213200
53300142302303130
6122302504530544
710641551024041
oct1463171754740
9344731138851
10109956291040
11426a5506a02
1219388180a54
13a4a443510b
1454714868c8
152cd8361bca
hex1999e7d9e0

109956291040 has 48 divisors (see below), whose sum is σ = 275052434832. Its totient is φ = 41395308544.

The previous prime is 109956291007. The next prime is 109956291043. The reversal of 109956291040 is 40192659901.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109956291043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20209834 + ... + 20215273.

It is an arithmetic number, because the mean of its divisors is an integer number (5730259059).

Almost surely, 2109956291040 is an apocalyptic number.

109956291040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109956291040 is an abundant number, since it is smaller than the sum of its proper divisors (165096143792).

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

109956291040 is a wasteful number, since it uses less digits than its factorization.

109956291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425139 (or 40425131 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 109956291040 in words is "one hundred nine billion, nine hundred fifty-six million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 40425107 80850214 161700428 202125535 323400856 404251070 646801712 687226819 808502140 1293603424 1374453638 1617004280 2748907276 3234008560 3436134095 5497814552 6468017120 6872268190 10995629104 13744536380 21991258208 27489072760 54978145520 109956291040