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422379921056 = 25291123405299
BaseRepresentation
bin1100010010101111100…
…11100001111010100000
31111101020101100011011212
412021113303201322200
523410013224433211
6522012203325252
742341653043162
oct6112763417240
91441211304155
10422379921056
111531484aa325
1269a3a220828
1330aa40c1592
141662c59c932
15aec157138b
hex6257ce1ea0

422379921056 has 48 divisors (see below), whose sum is σ = 861003108000. Its totient is φ = 203725471488.

The previous prime is 422379921037. The next prime is 422379921071. The reversal of 422379921056 is 650129973224.

It is a happy number.

It is a super-2 number, since 2×4223799210562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422379920995 and 422379921013.

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 7 ways as a sum of consecutive naturals, for example, 839495 + ... + 1244793.

It is an arithmetic number, because the mean of its divisors is an integer number (17937564750).

Almost surely, 2422379921056 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 422379921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430501554000).

422379921056 is an abundant number, since it is smaller than the sum of its proper divisors (438623186944).

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

422379921056 is a wasteful number, since it uses less digits than its factorization.

422379921056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406461 (or 406453 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 422379921056 in words is "four hundred twenty-two billion, three hundred seventy-nine million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1123 2246 4492 8984 17968 32567 35936 65134 130268 260536 405299 521072 810598 1042144 1621196 3242392 6484784 11753671 12969568 23507342 47014684 94029368 188058736 376117472 455150777 910301554 1820603108 3641206216 7282412432 13199372533 14564824864 26398745066 52797490132 105594980264 211189960528 422379921056