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98659083264 = 2103741317353
BaseRepresentation
bin101101111100010001…
…0100010010000000000
3100102122201110201021220
41123320202202100000
53104023211131024
6113153502315040
710061602241160
oct1337042422000
9312581421256
1098659083264
1138928531555
1217154888a80
1393c3a798a1
144abcd2c5a0
152876665e79
hex16f88a2400

98659083264 has 352 divisors, whose sum is σ = 309704484096. Its totient is φ = 27336376320.

The previous prime is 98659083241. The next prime is 98659083287. The reversal of 98659083264 is 46238095689.

98659083264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (98659083241) and next prime (98659083287).

It is a super-2 number, since 2×986590832642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98659083198 and 98659083207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279487312 + ... + 279487664.

Almost surely, 298659083264 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 98659083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154852242048).

98659083264 is an abundant number, since it is smaller than the sum of its proper divisors (211045400832).

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

98659083264 is a wasteful number, since it uses less digits than its factorization.

98659083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 98659083264 in words is "ninety-eight billion, six hundred fifty-nine million, eighty-three thousand, two hundred sixty-four".