Search a number
-
+
25415406990 = 2335592296967
BaseRepresentation
bin10111101010111000…
…000101010110001110
32102121020120110002000
4113222320011112032
5404022321010430
615401540213130
71556550252321
oct275270052616
972536513060
1025415406990
11a862375496
124b1369a1a6
13252061077c
1413315dc7b8
159db3cae60
hex5eae0558e

25415406990 has 128 divisors (see below), whose sum is σ = 69234048000. Its totient is φ = 6632523648.

The previous prime is 25415406977. The next prime is 25415407001. The reversal of 25415406990 is 9960451452.

25415406990 is a `hidden beast` number, since 2 + 5 + 41 + 540 + 69 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644487 + ... + 3651453.

It is an arithmetic number, because the mean of its divisors is an integer number (540891000).

Almost surely, 225415406990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25415406990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617024000).

25415406990 is an abundant number, since it is smaller than the sum of its proper divisors (43818641010).

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

25415406990 is a wasteful number, since it uses less digits than its factorization.

25415406990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25415406990 in words is "twenty-five billion, four hundred fifteen million, four hundred six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 229 270 295 354 458 531 590 687 885 1062 1145 1374 1593 1770 2061 2290 2655 3186 3435 4122 5310 6183 6870 6967 7965 10305 12366 13511 13934 15930 20610 20901 27022 30915 34835 40533 41802 61830 62703 67555 69670 81066 104505 121599 125406 135110 188109 202665 209010 243198 313515 364797 376218 405330 411053 607995 627030 729594 822106 940545 1215990 1233159 1595443 1823985 1881090 2055265 2466318 3190886 3647970 3699477 4110530 4786329 6165795 7398954 7977215 9572658 11098431 12331590 14358987 15954430 18497385 22196862 23931645 28717974 36994770 43076961 47863290 55492155 71794935 86153922 94131137 110984310 143589870 188262274 215384805 282393411 430769610 470655685 564786822 847180233 941311370 1411967055 1694360466 2541540699 2823934110 4235901165 5083081398 8471802330 12707703495 25415406990