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106731612544 = 271038095541
BaseRepresentation
bin110001101100110110…
…0110010100110000000
3101012111022100200122211
41203121230302212000
53222041243100134
6121010512511504
710465623511024
oct1433154624600
9335438320584
10106731612544
11412a0238257
121882824b594
13a0ac33582b
1452470b6384
152b9a1db764
hex18d9b32980

106731612544 has 32 divisors (see below), whose sum is σ = 214693773840. Its totient is φ = 52847685120.

The previous prime is 106731612527. The next prime is 106731612593. The reversal of 106731612544 is 445216137601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1067316125442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106731612497 and 106731612506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4034587 + ... + 4060954.

Almost surely, 2106731612544 is an apocalyptic number.

It is an amenable number.

106731612544 is an abundant number, since it is smaller than the sum of its proper divisors (107962161296).

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

106731612544 is an equidigital number, since it uses as much as digits as its factorization.

106731612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095658 (or 8095646 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 106731612544 in words is "one hundred six billion, seven hundred thirty-one million, six hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 13184 8095541 16191082 32382164 64764328 129528656 259057312 518114624 833840723 1036229248 1667681446 3335362892 6670725784 13341451568 26682903136 53365806272 106731612544