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22690897047936 = 273513444712619
BaseRepresentation
bin1010010100011001000101…
…10110111011000110000000
32222100020011121222212200000
411022030202312323012000
510433231424121013221
6120132015412400000
74531235403363435
oct512144266730600
988306147885600
1022690897047936
117259178918937
122665793616000
13c879860c9670
1458636107bb8c
15295397ba4e26
hex14a322dbb180

22690897047936 has 384 divisors, whose sum is σ = 72944698444800. Its totient is φ = 6979691317248.

The previous prime is 22690897047913. The next prime is 22690897047941. The reversal of 22690897047936 is 63974079809622.

22690897047936 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 0 + 89 + 70 + 479 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798147035 + ... + 1798159653.

It is an arithmetic number, because the mean of its divisors is an integer number (189960152200).

Almost surely, 222690897047936 is an apocalyptic number.

22690897047936 is a gapful number since it is divisible by the number (26) 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 22690897047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36472349222400).

22690897047936 is an abundant number, since it is smaller than the sum of its proper divisors (50253801396864).

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

22690897047936 is a wasteful number, since it uses less digits than its factorization.

22690897047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17084 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 22690897047936 in words is "twenty-two trillion, six hundred ninety billion, eight hundred ninety-seven million, forty-seven thousand, nine hundred thirty-six".