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106712789656 = 231127712913391
BaseRepresentation
bin110001101100010010…
…0111111001010011000
3101012102222221101111211
41203120210333022120
53222021433232111
6121005001232504
710465304513554
oct1433044771230
9335388841454
10106712789656
1141290651350
1218821a92734
13a0a8475125
1452447b6864
152b9871e521
hex18d893f298

106712789656 has 64 divisors (see below), whose sum is σ = 219298498560. Its totient is φ = 48279024000.

The previous prime is 106712789653. The next prime is 106712789683. The reversal of 106712789656 is 656987217601.

It is a super-2 number, since 2×1067127896562 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106712789656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712789653) 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, 31467721 + ... + 31471111.

It is an arithmetic number, because the mean of its divisors is an integer number (3426539040).

Almost surely, 2106712789656 is an apocalyptic number.

It is an amenable number.

106712789656 is an abundant number, since it is smaller than the sum of its proper divisors (112585708904).

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

106712789656 is a wasteful number, since it uses less digits than its factorization.

106712789656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 106712789656 in words is "one hundred six billion, seven hundred twelve million, seven hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 277 554 1108 1291 2216 2582 3047 3391 5164 6094 6782 10328 12188 13564 14201 24376 27128 28402 37301 56804 74602 113608 149204 298408 357607 715214 939307 1430428 1878614 2860856 3757228 3933677 4377781 7514456 7867354 8755562 10332377 15734708 17511124 20664754 31469416 35022248 41329508 48155591 82659016 96311182 192622364 385244728 1212645337 2425290674 4850581348 9701162696 13339098707 26678197414 53356394828 106712789656