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98636009472 = 21237711213
BaseRepresentation
bin101101111011100101…
…0100001000000000000
3100102121010001110000000
41123313022201000000
53104001304300342
6113151320000000
710061202150510
oct1336712410000
9312533043000
1098636009472
1138916501900
1217149000000
1393bc05b360
144ab9c43840
15287460944c
hex16f72a1000

98636009472 has 1248 divisors, whose sum is σ = 400203086080. Its totient is φ = 23648993280.

The previous prime is 98636009449. The next prime is 98636009477. The reversal of 98636009472 is 27490063689.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×986360094723 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (98636009477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7587385338 + ... + 7587385350.

Almost surely, 298636009472 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 98636009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200101543040).

98636009472 is an abundant number, since it is smaller than the sum of its proper divisors (301567076608).

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

98636009472 is an equidigital number, since it uses as much as digits as its factorization.

98636009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 98636009472 in words is "ninety-eight billion, six hundred thirty-six million, nine thousand, four hundred seventy-two".