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106947062772 = 223113721897433
BaseRepresentation
bin110001110011010001…
…0101010101111110100
3101020001022202200210220
41203212202222233310
53223011422002042
6121044130414340
710504151014554
oct1434642525764
9336038680726
10106947062772
11413a09131a0
12188884313b0
13a114b6c384
14526795b164
152bae0988ec
hex18e68aabf4

106947062772 has 48 divisors (see below), whose sum is σ = 279586437312. Its totient is φ = 31532302080.

The previous prime is 106947062741. The next prime is 106947062773. The reversal of 106947062772 is 277260749601.

It is a super-2 number, since 2×1069470627722 (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 (106947062773) 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, 10943833 + ... + 10953600.

It is an arithmetic number, because the mean of its divisors is an integer number (5824717444).

Almost surely, 2106947062772 is an apocalyptic number.

106947062772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106947062772 is an abundant number, since it is smaller than the sum of its proper divisors (172639374540).

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

106947062772 is a wasteful number, since it uses less digits than its factorization.

106947062772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21897488 (or 21897486 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 106947062772 in words is "one hundred six billion, nine hundred forty-seven million, sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 21897433 43794866 65692299 87589732 131384598 240871763 262769196 481743526 722615289 810205021 963487052 1445230578 1620410042 2430615063 2890461156 3240820084 4861230126 8912255231 9722460252 17824510462 26736765693 35649020924 53473531386 106947062772