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422192704680 = 233353761379457
BaseRepresentation
bin1100010010011001010…
…01010110110010101000
31111100202100001120121000
412021030221112302220
523404122313022210
6521541434515000
742334220530635
oct6111451266250
91440670046530
10422192704680
1115306185894a
12699a7595a60
1330a74391b66
141661178718c
15aeaeddeac0
hex624ca56ca8

422192704680 has 512 divisors, whose sum is σ = 1476137664000. Its totient is φ = 107226685440.

The previous prime is 422192704657. The next prime is 422192704697. The reversal of 422192704680 is 86407291224.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 923835012 + ... + 923835468.

It is an arithmetic number, because the mean of its divisors is an integer number (2883081375).

Almost surely, 2422192704680 is an apocalyptic number.

422192704680 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 422192704680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738068832000).

422192704680 is an abundant number, since it is smaller than the sum of its proper divisors (1053944959320).

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

422192704680 is a wasteful number, since it uses less digits than its factorization.

422192704680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 422192704680 in words is "four hundred twenty-two billion, one hundred ninety-two million, seven hundred four thousand, six hundred eighty".