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96999989400 = 233352194123059
BaseRepresentation
bin101101001010110100…
…1100110000010011000
3100021101002121000101000
41122111221212002120
53042123444130100
6112321114225000
710002515206626
oct1322551460230
9307332530330
1096999989400
1138156a687a6
1216971125160
1391bb123442
1449a2854516
1527cab92900
hex1695a66098

96999989400 has 384 divisors, whose sum is σ = 360289440000. Its totient is φ = 23906534400.

The previous prime is 96999989371. The next prime is 96999989477. The reversal of 96999989400 is 498999969.

It is a super-2 number, since 2×969999894002 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4195071 + ... + 4218129.

It is an arithmetic number, because the mean of its divisors is an integer number (938253750).

Almost surely, 296999989400 is an apocalyptic number.

96999989400 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 96999989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180144720000).

96999989400 is an abundant number, since it is smaller than the sum of its proper divisors (263289450600).

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

96999989400 is a wasteful number, since it uses less digits than its factorization.

96999989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23144 (or 23129 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 72.

The spelling of 96999989400 in words is "ninety-six billion, nine hundred ninety-nine million, nine hundred eighty-nine thousand, four hundred".