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94028007168 = 28331013672
BaseRepresentation
bin101011110010010000…
…0011000011100000000
322222200222021200012000
41113210200120130000
53020032132212133
6111110150304000
76536046605454
oct1274440303400
9288628250160
1094028007168
11369713a4537
1216281958000
138b3649b884
14479dc62664
1526a4cd5413
hex15e4818700

94028007168 has 216 divisors, whose sum is σ = 281577638160. Its totient is φ = 30947788800.

The previous prime is 94028007133. The next prime is 94028007169. The reversal of 94028007168 is 86170082049.

94028007168 is a `hidden beast` number, since 9 + 402 + 80 + 0 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×940280071682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94028007169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256206921 + ... + 256207287.

Almost surely, 294028007168 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 94028007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140788819080).

94028007168 is an abundant number, since it is smaller than the sum of its proper divisors (187549630992).

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

94028007168 is an equidigital number, since it uses as much as digits as its factorization.

94028007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 94028007168 in words is "ninety-four billion, twenty-eight million, seven thousand, one hundred sixty-eight".