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22998363799680 = 273454311391303
BaseRepresentation
bin1010011101010101110010…
…10011100000000010000000
310000102121210111221012020000
411032222321103200002000
511003301122113042210
6120525145200120000
74562401615554453
oct516527123400200
9100377714835200
1022998363799680
117367607887245
1226b52a1606000
13caa975b44969
145971abb1949a
1529d390b29ac0
hex14eab94e0080

22998363799680 has 640 divisors, whose sum is σ = 84785997352320. Its totient is φ = 5937195220992.

The previous prime is 22998363799679. The next prime is 22998363799709. The reversal of 22998363799680 is 8699736389922.

22998363799680 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 83 + 6 + 379 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 22998363799680.

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 79 ways as a sum of consecutive naturals, for example, 251844909 + ... + 251936211.

It is an arithmetic number, because the mean of its divisors is an integer number (132478120863).

Almost surely, 222998363799680 is an apocalyptic number.

22998363799680 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 22998363799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42392998676160).

22998363799680 is an abundant number, since it is smaller than the sum of its proper divisors (61787633552640).

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

22998363799680 is a wasteful number, since it uses less digits than its factorization.

22998363799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91490 (or 91469 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 22998363799680 in words is "twenty-two trillion, nine hundred ninety-eight billion, three hundred sixty-three million, seven hundred ninety-nine thousand, six hundred eighty".