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25444616106 = 2371370965729
BaseRepresentation
bin10111101100100111…
…100000011110101010
32102200021112102110010
4113230213200132222
5404102310203411
615404502232350
71560353445150
oct275447403652
972607472403
1025444616106
11a877905758
124b214256b6
132526699780
1413354433d0
159ddc4a7a6
hex5ec9e07aa

25444616106 has 64 divisors (see below), whose sum is σ = 62722195200. Its totient is φ = 6701101056.

The previous prime is 25444616101. The next prime is 25444616143. The reversal of 25444616106 is 60161644452.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (25444616101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 354250 + ... + 419978.

It is an arithmetic number, because the mean of its divisors is an integer number (980034300).

Almost surely, 225444616106 is an apocalyptic number.

25444616106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25444616106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31361097600).

25444616106 is an abundant number, since it is smaller than the sum of its proper divisors (37277579094).

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

25444616106 is a wasteful number, since it uses less digits than its factorization.

25444616106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66463.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 25444616106 in words is "twenty-five billion, four hundred forty-four million, six hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 709 1418 2127 4254 4963 9217 9926 14889 18434 27651 29778 55302 64519 65729 129038 131458 193557 197187 387114 394374 460103 854477 920206 1380309 1708954 2563431 2760618 5126862 5981339 11962678 17944017 35888034 46601861 93203722 139805583 279611166 326213027 605824193 652426054 978639081 1211648386 1817472579 1957278162 3634945158 4240769351 8481538702 12722308053 25444616106