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96232136448 = 283726738167
BaseRepresentation
bin101100110011111100…
…0011101111100000000
3100012101120202001010210
41121213320131330000
53034040411331243
6112113004354120
76644502443400
oct1314770357400
9305346661123
1096232136448
11378a2594488
1216797b45940
1390c8017896
14492c896800
15278356a933
hex1667e1df00

96232136448 has 216 divisors, whose sum is σ = 302387659392. Its totient is φ = 27083814912.

The previous prime is 96232136401. The next prime is 96232136489. The reversal of 96232136448 is 84463123269.

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

It is a junction number, because it is equal to n+sod(n) for n = 96232136397 and 96232136406.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2502261 + ... + 2540427.

Almost surely, 296232136448 is an apocalyptic number.

96232136448 is a gapful number since it is divisible by the number (98) 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 96232136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151193829696).

96232136448 is an abundant number, since it is smaller than the sum of its proper divisors (206155522944).

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

96232136448 is a wasteful number, since it uses less digits than its factorization.

96232136448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38267 (or 38246 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 96232136448 in words is "ninety-six billion, two hundred thirty-two million, one hundred thirty-six thousand, four hundred forty-eight".