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1452106656 = 2533711132373
BaseRepresentation
bin101011010001101…
…0110001110100000
310202012101122212000
41112203112032200
510433214403111
6400031404000
750661463050
oct12643261640
93665348760
101452106656
11685749250
12346383600
131a1ac3a10
14dabd7560
1587738c56
hex568d63a0

1452106656 has 768 divisors, whose sum is σ = 6015098880. Its totient is φ = 328458240.

The previous prime is 1452106651. The next prime is 1452106661. The reversal of 1452106656 is 6566012541.

It is an interprime number because it is at equal distance from previous prime (1452106651) and next prime (1452106661).

It is a super-2 number, since 2×14521066562 = 4217227480799004672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1452106656.

It is not an unprimeable number, because it can be changed into a prime (1452106651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19891836 + ... + 19891908.

It is an arithmetic number, because the mean of its divisors is an integer number (7832160).

Almost surely, 21452106656 is an apocalyptic number.

1452106656 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 1452106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007549440).

1452106656 is an abundant number, since it is smaller than the sum of its proper divisors (4562992224).

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

1452106656 is a wasteful number, since it uses less digits than its factorization.

1452106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1452106656 is about 38106.5172378689. The cubic root of 1452106656 is about 1132.3990735022.

The spelling of 1452106656 in words is "one billion, four hundred fifty-two million, one hundred six thousand, six hundred fifty-six".