Search a number
-
+
96367490236872 = 233223791408152313
BaseRepresentation
bin10101111010010101001110…
…000001100000000111001000
3110122012122100002100010012100
4111322111032001200013020
5100112341110000034442
6540542340331513400
726204215146460461
oct2572251601400710
9418178302303170
1096367490236872
112878424aa41778
12a9847b95b8860
1341a055265651a
1419b22d6197d68
15b21b160ca84c
hex57a54e0601c8

96367490236872 has 192 divisors, whose sum is σ = 275815144051200. Its totient is φ = 30334197104640.

The previous prime is 96367490236861. The next prime is 96367490236873. The reversal of 96367490236872 is 27863209476369.

96367490236872 is a `hidden beast` number, since 9 + 6 + 3 + 6 + 7 + 490 + 2 + 3 + 68 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 96367490236872.

It is not an unprimeable number, because it can be changed into a prime (96367490236873) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1842106588 + ... + 1842158900.

It is an arithmetic number, because the mean of its divisors is an integer number (1436537208600).

Almost surely, 296367490236872 is an apocalyptic number.

96367490236872 is a gapful number since it is divisible by the number (92) 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 96367490236872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137907572025600).

96367490236872 is an abundant number, since it is smaller than the sum of its proper divisors (179447653814328).

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

96367490236872 is a wasteful number, since it uses less digits than its factorization.

96367490236872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66508 (or 66501 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 96367490236872 in words is "ninety-six trillion, three hundred sixty-seven billion, four hundred ninety million, two hundred thirty-six thousand, eight hundred seventy-two".