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25435227480 = 23351397168089
BaseRepresentation
bin10111101100000011…
…101100010101011000
32102122121212102200020
4113230003230111120
5404042404234410
615403525110440
71560210603105
oct275403542530
972577772606
1025435227480
11a872582963
124b1a258420
132524760280
1413340bbaac
159dcee3a70
hex5ec0ec558

25435227480 has 128 divisors (see below), whose sum is σ = 83023012800. Its totient is φ = 6196396032.

The previous prime is 25435227469. The next prime is 25435227529. The reversal of 25435227480 is 8472253452.

It is a congruent number.

It is an unprimeable number.

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, 67276 + ... + 235364.

Almost surely, 225435227480 is an apocalyptic number.

25435227480 is a gapful number since it is divisible by the number (20) 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 25435227480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511506400).

25435227480 is an abundant number, since it is smaller than the sum of its proper divisors (57587785320).

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

25435227480 is a wasteful number, since it uses less digits than its factorization.

25435227480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168213 (or 168209 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 25435227480 in words is "twenty-five billion, four hundred thirty-five million, two hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 485 520 582 776 780 970 1164 1261 1455 1560 1940 2328 2522 2910 3783 3880 5044 5820 6305 7566 10088 11640 12610 15132 18915 25220 30264 37830 50440 75660 151320 168089 336178 504267 672356 840445 1008534 1344712 1680890 2017068 2185157 2521335 3361780 4034136 4370314 5042670 6555471 6723560 8740628 10085340 10925785 13110942 16304633 17481256 20170680 21851570 26221884 32609266 32777355 43703140 48913899 52443768 65218532 65554710 81523165 87406280 97827798 130437064 131109420 163046330 195655596 211960229 244569495 262218840 326092660 391311192 423920458 489138990 635880687 652185320 847840916 978277980 1059801145 1271761374 1695681832 1956555960 2119602290 2543522748 3179403435 4239204580 5087045496 6358806870 8478409160 12717613740 25435227480