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21117542400 = 21334521967
BaseRepresentation
bin10011101010101101…
…000010000000000000
32000111201101022020000
4103222231002000000
5321222042324100
613411250120000
71345212102003
oct235255020000
960451338200
1021117542400
118a57336189
124114280000
131cb708b226
1410448ad53a
15838e19900
hex4eab42000

21117542400 has 840 divisors, whose sum is σ = 83575580880. Its totient is φ = 5255331840.

The previous prime is 21117542371. The next prime is 21117542429. The reversal of 21117542400 is 424571112.

21117542400 is a `hidden beast` number, since 2 + 1 + 117 + 542 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21117542371) and next prime (21117542429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315187167 + ... + 315187233.

Almost surely, 221117542400 is an apocalyptic number.

21117542400 is a gapful number since it is divisible by the number (20) 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 21117542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41787790440).

21117542400 is an abundant number, since it is smaller than the sum of its proper divisors (62458038480).

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

21117542400 is an equidigital number, since it uses as much as digits as its factorization.

21117542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 21117542400 in words is "twenty-one billion, one hundred seventeen million, five hundred forty-two thousand, four hundred".