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20354542344 = 2332282701977
BaseRepresentation
bin10010111101001110…
…011010101100001000
31221112112122212220200
4102331032122230020
5313141230323334
613203432252200
71320255520023
oct227516325410
957475585820
1020354542344
1186a5676a24
123b40841060
131bc4c914c6
14db14161ba
157e1e50799
hex4bd39ab08

20354542344 has 24 divisors (see below), whose sum is σ = 55126885710. Its totient is φ = 6784847424.

The previous prime is 20354542261. The next prime is 20354542363. The reversal of 20354542344 is 44324545302.

20354542344 is a `hidden beast` number, since 20 + 3 + 54 + 542 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17865530244 + 2489012100 = 133662^2 + 49890^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20354542299 and 20354542308.

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 5 ways as a sum of consecutive naturals, for example, 141350917 + ... + 141351060.

Almost surely, 220354542344 is an apocalyptic number.

20354542344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20354542344 is an abundant number, since it is smaller than the sum of its proper divisors (34772343366).

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

20354542344 is a wasteful number, since it uses less digits than its factorization.

20354542344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282701989 (or 282701982 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 20354542344 in words is "twenty billion, three hundred fifty-four million, five hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 282701977 565403954 848105931 1130807908 1696211862 2261615816 2544317793 3392423724 5088635586 6784847448 10177271172 20354542344