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106994776752 = 2432743019283
BaseRepresentation
bin110001110100101100…
…0101011101010110000
3101020011122112211002100
41203221120223222300
53223111130324002
6121052553220400
710505300411433
oct1435130535260
9336148484070
10106994776752
1141415842436
12188a0401700
13a121a070b6
14527001b81a
152bb337111c
hex18e962bab0

106994776752 has 30 divisors (see below), whose sum is σ = 299436771452. Its totient is φ = 35664925536.

The previous prime is 106994776727. The next prime is 106994776781. The reversal of 106994776752 is 257677499601.

106994776752 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 477 + 6 + 75 + 2 = 666.

It is a super-2 number, since 2×1069947767522 (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 106994776752.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371509498 + ... + 371509785.

Almost surely, 2106994776752 is an apocalyptic number.

106994776752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106994776752 is an abundant number, since it is smaller than the sum of its proper divisors (192441994700).

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

106994776752 is a wasteful number, since it uses less digits than its factorization.

106994776752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743019297 (or 743019288 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 106994776752 in words is "one hundred six billion, nine hundred ninety-four million, seven hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 743019283 1486038566 2229057849 2972077132 4458115698 5944154264 6687173547 8916231396 11888308528 13374347094 17832462792 26748694188 35664925584 53497388376 106994776752