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96963650784 = 253272111348049
BaseRepresentation
bin101101001001101111…
…0111110010011100000
3100021021120012211011100
41122103132332103200
53042040143311114
6112313335314400
710001564301300
oct1322336762340
9307246184140
1096963650784
11381384a8a90
1216960b1ba00
1391b373c2c0
14499bab5600
1527c78b5909
hex16937be4e0

96963650784 has 432 divisors, whose sum is σ = 376843849200. Its totient is φ = 23247544320.

The previous prime is 96963650699. The next prime is 96963650801. The reversal of 96963650784 is 48705636969.

96963650784 is a `hidden beast` number, since 9 + 6 + 96 + 36 + 507 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1993992 + ... + 2042040.

It is an arithmetic number, because the mean of its divisors is an integer number (872323725).

Almost surely, 296963650784 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 96963650784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188421924600).

96963650784 is an abundant number, since it is smaller than the sum of its proper divisors (279880198416).

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

96963650784 is a wasteful number, since it uses less digits than its factorization.

96963650784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48103 (or 48085 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

It can be divided in two parts, 96963 and 650784, that added together give a palindrome (747747).

The spelling of 96963650784 in words is "ninety-six billion, nine hundred sixty-three million, six hundred fifty thousand, seven hundred eighty-four".