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102764772820 = 2255138238641
BaseRepresentation
bin101111110110101000…
…0011111110111010100
3100211020212001100120001
41133231100133313110
53140430240212240
6115113125421044
710265415104443
oct1375520376724
9324225040501
10102764772820
113a645042916
1217abb86a784
1398c95546a8
144d8c314d5a
152a16d1689a
hex17ed41fdd4

102764772820 has 12 divisors (see below), whose sum is σ = 215806022964. Its totient is φ = 41105909120.

The previous prime is 102764772797. The next prime is 102764772833. The reversal of 102764772820 is 28277467201.

It can be written as a sum of positive squares in 2 ways, for example, as 24587494416 + 78177278404 = 156804^2 + 279602^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2569119301 + ... + 2569119340.

It is an arithmetic number, because the mean of its divisors is an integer number (17983835247).

Almost surely, 2102764772820 is an apocalyptic number.

102764772820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102764772820 is an abundant number, since it is smaller than the sum of its proper divisors (113041250144).

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

102764772820 is a wasteful number, since it uses less digits than its factorization.

102764772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138238650 (or 5138238648 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 102764772820 in words is "one hundred two billion, seven hundred sixty-four million, seven hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 5138238641 10276477282 20552954564 25691193205 51382386410 102764772820