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107764468340 = 22535315264089
BaseRepresentation
bin110010001011101000…
…0110100101001110100
3101022011021212012110012
41210113100310221310
53231200200441330
6121301210315352
710533334603304
oct1442720645164
9338137765405
10107764468340
1141780262091
1218a76128b58
13a2153077c9
145304337604
152c0ac0cc95
hex1917434a74

107764468340 has 24 divisors (see below), whose sum is σ = 226946490120. Its totient is φ = 42983671808.

The previous prime is 107764468319. The next prime is 107764468391. The reversal of 107764468340 is 43864467701.

It can be written as a sum of positive squares in 4 ways, for example, as 864242404 + 106900225936 = 29398^2 + 326956^2 .

It is a super-2 number, since 2×1077644683402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7624985 + ... + 7639104.

It is an arithmetic number, because the mean of its divisors is an integer number (9456103755).

Almost surely, 2107764468340 is an apocalyptic number.

107764468340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107764468340 is an abundant number, since it is smaller than the sum of its proper divisors (119182021780).

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

107764468340 is a wasteful number, since it uses less digits than its factorization.

107764468340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264451 (or 15264449 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 107764468340 in words is "one hundred seven billion, seven hundred sixty-four million, four hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 15264089 30528178 61056356 76320445 152640890 305281780 5388223417 10776446834 21552893668 26941117085 53882234170 107764468340