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98090373150 = 2325272111723789
BaseRepresentation
bin101101101011010100…
…1000101000000011110
3100101012002100020200100
41123112221011000132
53101342113420100
6113021225041530
710041525262200
oct1332651050036
9311162306610
1098090373150
11386665051a0
12170163262a6
139332cb8123
144a675ac770
152841779400
hex16d6a4501e

98090373150 has 432 divisors, whose sum is σ = 354119098320. Its totient is φ = 19182643200.

The previous prime is 98090373137. The next prime is 98090373151. The reversal of 98090373150 is 5137309089.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 98090373096 and 98090373105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98090373151) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 4111456 + ... + 4135244.

It is an arithmetic number, because the mean of its divisors is an integer number (819720135).

Almost surely, 298090373150 is an apocalyptic number.

98090373150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98090373150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177059549160).

98090373150 is an abundant number, since it is smaller than the sum of its proper divisors (256028725170).

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

98090373150 is a wasteful number, since it uses less digits than its factorization.

98090373150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23849 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 98090373150 in words is "ninety-eight billion, ninety million, three hundred seventy-three thousand, one hundred fifty".