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106117623048 = 2335429381439
BaseRepresentation
bin110001011010100011…
…0100110110100001000
3101010220112000210102010
41202311012212310020
53214312102414143
6120425540535520
710444456625133
oct1426506466410
9333815023363
10106117623048
11410056a4918
12186966b15a0
13a01207c538
1451c972b21a
152b61358a33
hex18b51a6d08

106117623048 has 32 divisors (see below), whose sum is σ = 265302201600. Its totient is φ = 35371455168.

The previous prime is 106117623041. The next prime is 106117623113. The reversal of 106117623048 is 840326711601.

It is a Cunningham number, because it is equal to 3257572-1.

It is a super-2 number, since 2×1061176230482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106117622997 and 106117623015.

It is not an unprimeable number, because it can be changed into a prime (106117623041) 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, 1262313 + ... + 1343751.

It is an arithmetic number, because the mean of its divisors is an integer number (8290693800).

Almost surely, 2106117623048 is an apocalyptic number.

It is an amenable number.

106117623048 is an abundant number, since it is smaller than the sum of its proper divisors (159184578552).

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

106117623048 is a wasteful number, since it uses less digits than its factorization.

106117623048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135741 (or 135737 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 106117623048 in words is "one hundred six billion, one hundred seventeen million, six hundred twenty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 54293 81439 108586 162878 162879 217172 244317 325756 325758 434344 488634 651512 651516 977268 1303032 1954536 4421567627 8843135254 13264702881 17686270508 26529405762 35372541016 53058811524 106117623048