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98205902256 = 243711435389131
BaseRepresentation
bin101101101110110000…
…1110010010110110000
3100101111010201201211010
41123131201302112300
53102111202333011
6113040513150520
710044430252560
oct1333541622660
9311433651733
1098205902256
11387157429a0
1217048b5b440
139350c08047
144a78a82da0
15284b99a1a6
hex16dd8725b0

98205902256 has 640 divisors, whose sum is σ = 336012779520. Its totient is φ = 23985561600.

The previous prime is 98205902239. The next prime is 98205902279. The reversal of 98205902256 is 65220950289.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 749663311 + ... + 749663441.

It is an arithmetic number, because the mean of its divisors is an integer number (525019968).

Almost surely, 298205902256 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 98205902256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168006389760).

98205902256 is an abundant number, since it is smaller than the sum of its proper divisors (237806877264).

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

98205902256 is a wasteful number, since it uses less digits than its factorization.

98205902256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 98205902256 in words is "ninety-eight billion, two hundred five million, nine hundred two thousand, two hundred fifty-six".