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1426610016 = 253313157809
BaseRepresentation
bin101010100001000…
…0101011101100000
310200102102022001000
41111002011131200
510410203010031
6353321112000
750231661606
oct12502053540
93612368030
101426610016
11672314247
12339928600
13199737750
14d767b876
158539e3e6
hex55085760

1426610016 has 192 divisors, whose sum is σ = 4515134400. Its totient is φ = 435621888.

The previous prime is 1426609993. The next prime is 1426610023. The reversal of 1426610016 is 6100166241.

1426610016 is a `hidden beast` number, since 1 + 42 + 6 + 610 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×14266100162 = 4070432275503040512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763020 + ... + 1763828.

It is an arithmetic number, because the mean of its divisors is an integer number (23516325).

Almost surely, 21426610016 is an apocalyptic number.

1426610016 is a gapful number since it is divisible by the number (16) 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 1426610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257567200).

1426610016 is an abundant number, since it is smaller than the sum of its proper divisors (3088524384).

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

1426610016 is a wasteful number, since it uses less digits than its factorization.

1426610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1426610016 is about 37770.4913391393. The cubic root of 1426610016 is about 1125.7322024562.

Adding to 1426610016 its reverse (6100166241), we get a palindrome (7526776257).

The spelling of 1426610016 in words is "one billion, four hundred twenty-six million, six hundred ten thousand, sixteen".