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20276614427904 = 28352331457151
BaseRepresentation
bin1001001110001000001000…
…11001100111010100000000
32122210102111010022101100000
410213010010121213110000
510124203001243143104
6111042540441200000
74161636256613622
oct447040431472400
978712433271300
1020276614427904
11650829a26394a
1223358b1190000
13b410cc1c4003
145015715c4c12
15252694471639
hex127104667500

20276614427904 has 432 divisors, whose sum is σ = 65304653266944. Its totient is φ = 6256445184000.

The previous prime is 20276614427903. The next prime is 20276614427911. The reversal of 20276614427904 is 40972441667202.

20276614427904 is a `hidden beast` number, since 2 + 0 + 2 + 76 + 61 + 4 + 427 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×202766144279042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20276614427903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44125729 + ... + 44582879.

Almost surely, 220276614427904 is an apocalyptic number.

20276614427904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20276614427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32652326633472).

20276614427904 is an abundant number, since it is smaller than the sum of its proper divisors (45028038839040).

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

20276614427904 is an equidigital number, since it uses as much as digits as its factorization.

20276614427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457236 (or 457210 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20276614427904 in words is "twenty trillion, two hundred seventy-six billion, six hundred fourteen million, four hundred twenty-seven thousand, nine hundred four".