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94364368128 = 28321753131347
BaseRepresentation
bin101011111100010001…
…1011111110100000000
3100000120102012120200100
41113320203133310000
53021224234240003
6111203403522400
76550302615612
oct1277043376400
9300512176610
1094364368128
11370242534a8
1216356529400
138b8b08aa24
1447d27bcdb2
1526c45c7ba3
hex15f88dfd00

94364368128 has 432 divisors, whose sum is σ = 296608568256. Its totient is φ = 28741140480.

The previous prime is 94364368103. The next prime is 94364368157. The reversal of 94364368128 is 82186346349.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 271943251 + ... + 271943597.

It is an arithmetic number, because the mean of its divisors is an integer number (686593908).

Almost surely, 294364368128 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 94364368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148304284128).

94364368128 is an abundant number, since it is smaller than the sum of its proper divisors (202244200128).

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

94364368128 is a wasteful number, since it uses less digits than its factorization.

94364368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 94364368128 in words is "ninety-four billion, three hundred sixty-four million, three hundred sixty-eight thousand, one hundred twenty-eight".