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106711770636 = 223227791106661
BaseRepresentation
bin110001101100010000…
…1000110011000001100
3101012102221000121200100
41203120201012120030
53222021203130021
6121004523331100
710465263040632
oct1433041063014
9335387017610
10106711770636
1141290015789
1218821680a90
13a0a81a9363
1452445cd352
152b985bc626
hex18d884660c

106711770636 has 36 divisors (see below), whose sum is σ = 269755877664. Its totient is φ = 35568976800.

The previous prime is 106711770617. The next prime is 106711770647. The reversal of 106711770636 is 636077117601.

106711770636 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 1 + 7 + 7 + 0 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1067117706362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106711770591 and 106711770600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947146 + ... + 1053806.

It is an arithmetic number, because the mean of its divisors is an integer number (7493218824).

Almost surely, 2106711770636 is an apocalyptic number.

It is an amenable number.

106711770636 is an abundant number, since it is smaller than the sum of its proper divisors (163044107028).

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

106711770636 is a wasteful number, since it uses less digits than its factorization.

106711770636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134462 (or 134457 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 106711770636 in words is "one hundred six billion, seven hundred eleven million, seven hundred seventy thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 27791 55582 83373 106661 111164 166746 213322 250119 319983 333492 426644 500238 639966 959949 1000476 1279932 1919898 3839796 2964215851 5928431702 8892647553 11856863404 17785295106 26677942659 35570590212 53355885318 106711770636