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422172368640 = 28325112418389
BaseRepresentation
bin1100010010010110110…
…11110001111100000000
31111100200220210101210100
412021023123301330000
523404102111244030
6521535431002400
742333552632121
oct6111333617400
91440626711710
10422172368640
11153051329100
12699a0809400
1330a700c17b9
141660cbb2048
15aead224360
hex624b6f1f00

422172368640 has 1296 divisors, whose sum is σ = 1683209717280. Its totient is φ = 97537228800.

The previous prime is 422172368603. The next prime is 422172368701. The reversal of 422172368640 is 46863271224.

It is a happy number.

422172368640 is a `hidden beast` number, since 4 + 221 + 7 + 2 + 368 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4743509716 + ... + 4743509804.

It is an arithmetic number, because the mean of its divisors is an integer number (1298772930).

Almost surely, 2422172368640 is an apocalyptic number.

422172368640 is a gapful number since it is divisible by the number (40) 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 422172368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841604858640).

422172368640 is an abundant number, since it is smaller than the sum of its proper divisors (1261037348640).

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

422172368640 is a wasteful number, since it uses less digits than its factorization.

422172368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 422172368640 in words is "four hundred twenty-two billion, one hundred seventy-two million, three hundred sixty-eight thousand, six hundred forty".