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106156329906 = 23111998082559
BaseRepresentation
bin110001011011101101…
…0010000101110110010
3101011000012212022020110
41202313122100232302
53214402010024111
6120433442322150
710445436626124
oct1426732205662
9334005768213
10106156329906
1141025531960
12186a7659356
13a01a0b25c3
1451d0925214
152b649525a6
hex18b7690bb2

106156329906 has 32 divisors (see below), whose sum is σ = 232777728000. Its totient is φ = 32006929680.

The previous prime is 106156329901. The next prime is 106156329907. The reversal of 106156329906 is 609923651601.

It is a happy number.

It is a super-2 number, since 2×1061563299062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106156329901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4028146 + ... + 4054413.

It is an arithmetic number, because the mean of its divisors is an integer number (7274304000).

Almost surely, 2106156329906 is an apocalyptic number.

106156329906 is an abundant number, since it is smaller than the sum of its proper divisors (126621398094).

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

106156329906 is a wasteful number, since it uses less digits than its factorization.

106156329906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082774.

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 106156329906 in words is "one hundred six billion, one hundred fifty-six million, three hundred twenty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 11 22 33 66 199 398 597 1194 2189 4378 6567 13134 8082559 16165118 24247677 48495354 88908149 177816298 266724447 533448894 1608429241 3216858482 4825287723 9650575446 17692721651 35385443302 53078164953 106156329906