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106737456740 = 22531716835561
BaseRepresentation
bin110001101101000001…
…1000101011001100100
3101012111201100121101112
41203122003011121210
53222044242103430
6121011242044152
710466024261345
oct1433203053144
9335451317345
10106737456740
11412a356a072
121882a1a9658
13a0b0600935
145247b980cc
152b9a993195
hex18da0c5664

106737456740 has 24 divisors (see below), whose sum is σ = 224855766072. Its totient is φ = 42560295680.

The previous prime is 106737456737. The next prime is 106737456769. The reversal of 106737456740 is 47654737601.

It can be written as a sum of positive squares in 4 ways, for example, as 749445376 + 105988011364 = 27376^2 + 325558^2 .

It is a super-2 number, since 2×1067374567402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8411441 + ... + 8424120.

It is an arithmetic number, because the mean of its divisors is an integer number (9368990253).

Almost surely, 2106737456740 is an apocalyptic number.

106737456740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106737456740 is an abundant number, since it is smaller than the sum of its proper divisors (118118309332).

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

106737456740 is a wasteful number, since it uses less digits than its factorization.

106737456740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835887 (or 16835885 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 50.

The spelling of 106737456740 in words is "one hundred six billion, seven hundred thirty-seven million, four hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 16835561 33671122 67342244 84177805 168355610 336711220 5336872837 10673745674 21347491348 26684364185 53368728370 106737456740