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106792085670 = 2359413782929
BaseRepresentation
bin110001101110101001…
…1011110100010100110
3101012122112011001012020
41203131103132202212
53222202233220140
6121020513004010
710500256515354
oct1433523364246
9335575131166
10106792085670
1141321391646
1218844553606
13a0bba19c4a
1452511387d4
152ba06846d0
hex18dd4de8a6

106792085670 has 32 divisors (see below), whose sum is σ = 256573444320. Its totient is φ = 28447618560.

The previous prime is 106792085651. The next prime is 106792085671. The reversal of 106792085670 is 76580297601.

It is a super-2 number, since 2×1067920856702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106792085671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863235 + ... + 1919694.

It is an arithmetic number, because the mean of its divisors is an integer number (8017920135).

Almost surely, 2106792085670 is an apocalyptic number.

106792085670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106792085670 is an abundant number, since it is smaller than the sum of its proper divisors (149781358650).

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

106792085670 is a wasteful number, since it uses less digits than its factorization.

106792085670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783880.

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 106792085670 in words is "one hundred six billion, seven hundred ninety-two million, eighty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 941 1882 2823 4705 5646 9410 14115 28230 3782929 7565858 11348787 18914645 22697574 37829290 56743935 113487870 3559736189 7119472378 10679208567 17798680945 21358417134 35597361890 53396042835 106792085670