Search a number
-
+
22909888072512 = 26357537335417
BaseRepresentation
bin1010011010110000111111…
…01111011000101101000000
310000010011102111020120100000
411031120133233120231000
511000323422321310022
6120420353550200000
74553120245362150
oct515303757305500
9100104374216300
1022909888072512
117333035614971
1226a010b1b3000
13ca2515a62b8c
14592bb743c760
1529ae134de6ac
hex14d61fbd8b40

22909888072512 has 672 divisors, whose sum is σ = 79418908138752. Its totient is φ = 6412233424896.

The previous prime is 22909888072493. The next prime is 22909888072517. The reversal of 22909888072512 is 21527088890922.

22909888072512 is a `hidden beast` number, since 2 + 29 + 0 + 98 + 8 + 8 + 0 + 7 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 22909888072512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22909888072517) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4229254828 + ... + 4229260244.

It is an arithmetic number, because the mean of its divisors is an integer number (118182899016).

Almost surely, 222909888072512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22909888072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39709454069376).

22909888072512 is an abundant number, since it is smaller than the sum of its proper divisors (56509020066240).

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

22909888072512 is an equidigital number, since it uses as much as digits as its factorization.

22909888072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 22909888072512 in words is "twenty-two trillion, nine hundred nine billion, eight hundred eighty-eight million, seventy-two thousand, five hundred twelve".