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99422144640 = 27325751379
BaseRepresentation
bin101110010011000000…
…1011000100010000000
3100111121220022020201100
41130212001120202000
53112104032112030
6113401321334400
710116526200000
oct1344601304200
9314556266640
1099422144640
113918a232895
1217328337400
1394b5b984b0
144b52400000
1528bd643360
hex1726058880

99422144640 has 1152 divisors, whose sum is σ = 436803494400. Its totient is φ = 20711448576.

The previous prime is 99422144629. The next prime is 99422144659. The reversal of 99422144640 is 4644122499.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1258508121 + ... + 1258508199.

It is an arithmetic number, because the mean of its divisors is an integer number (379169700).

Almost surely, 299422144640 is an apocalyptic number.

99422144640 is a gapful number since it is divisible by the number (90) 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 99422144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218401747200).

99422144640 is an abundant number, since it is smaller than the sum of its proper divisors (337381349760).

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

99422144640 is an equidigital number, since it uses as much as digits as its factorization.

99422144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 99422144640 in words is "ninety-nine billion, four hundred twenty-two million, one hundred forty-four thousand, six hundred forty".