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94162068000 = 25335371113267
BaseRepresentation
bin101011110110001111…
…1110010001000100000
3100000001022112200002000
41113230133302020200
53020320442134000
6111131335524000
76542265241410
oct1275437621040
9300038480060
1094162068000
1136a3003a410
12162ba829600
138b581a9800
1447b399c640
1526b1967000
hex15ec7f2220

94162068000 has 2304 divisors, whose sum is σ = 469630586880. Its totient is φ = 17791488000.

The previous prime is 94162067983. The next prime is 94162068019. The reversal of 94162068000 is 86026149.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1405403967 + ... + 1405404033.

It is an arithmetic number, because the mean of its divisors is an integer number (203832720).

Almost surely, 294162068000 is an apocalyptic number.

94162068000 is a gapful number since it is divisible by the number (90) 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 94162068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234815293440).

94162068000 is an abundant number, since it is smaller than the sum of its proper divisors (375468518880).

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

94162068000 is a wasteful number, since it uses less digits than its factorization.

94162068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 94162068000 in words is "ninety-four billion, one hundred sixty-two million, sixty-eight thousand".