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25434491628 = 223713179130121
BaseRepresentation
bin10111101100000000…
…111000101011101100
32102122120111001021110
4113230000320223230
5404042212213003
615403501232020
71560201416550
oct275400705354
972576431243
1025434491628
11a872120017
124b19b62610
132524563360
141333d69860
159dcdeaa03
hex5ec038aec

25434491628 has 96 divisors (see below), whose sum is σ = 73451266560. Its totient is φ = 6670471680.

The previous prime is 25434491627. The next prime is 25434491629. The reversal of 25434491628 is 82619443452.

It is an interprime number because it is at equal distance from previous prime (25434491627) and next prime (25434491629).

It is not an unprimeable number, because it can be changed into a prime (25434491627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130408 + ... + 260528.

It is an arithmetic number, because the mean of its divisors is an integer number (765117360).

Almost surely, 225434491628 is an apocalyptic number.

25434491628 is a gapful number since it is divisible by the number (28) 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 25434491628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36725633280).

25434491628 is an abundant number, since it is smaller than the sum of its proper divisors (48016774932).

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

25434491628 is a wasteful number, since it uses less digits than its factorization.

25434491628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130327 (or 130325 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 25434491628 in words is "twenty-five billion, four hundred thirty-four million, four hundred ninety-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 358 364 537 546 716 1074 1092 1253 2148 2327 2506 3759 4654 5012 6981 7518 9308 13962 15036 16289 27924 32578 48867 65156 97734 130121 195468 260242 390363 520484 780726 910847 1561452 1691573 1821694 2732541 3383146 3643388 5074719 5465082 6766292 10149438 10930164 11841011 20298876 23291659 23682022 35523033 46583318 47364044 69874977 71046066 93166636 139749954 142092132 163041613 279499908 302791567 326083226 489124839 605583134 652166452 908374701 978249678 1211166268 1816749402 1956499356 2119540969 3633498804 4239081938 6358622907 8478163876 12717245814 25434491628