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25234354340 = 22513614673407
BaseRepresentation
bin10111100000000101…
…011011000010100100
32102010121220000112022
4113200011123002210
5403134443314330
615331551442312
71552221321116
oct274005330244
972117800468
1025234354340
11a77a1539a8
124a82b26398
1324c1c5b720
14131554d3b6
159ca565ae5
hex5e015b0a4

25234354340 has 96 divisors (see below), whose sum is σ = 58145278464. Its totient is φ = 9142248960.

The previous prime is 25234354331. The next prime is 25234354391. The reversal of 25234354340 is 4345343252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25234354340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7404917 + ... + 7408323.

It is an arithmetic number, because the mean of its divisors is an integer number (605679984).

Almost surely, 225234354340 is an apocalyptic number.

25234354340 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 25234354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072639232).

25234354340 is an abundant number, since it is smaller than the sum of its proper divisors (32910924124).

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

25234354340 is a wasteful number, since it uses less digits than its factorization.

25234354340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 25234354340 its reverse (4345343252), we get a palindrome (29579697592).

The spelling of 25234354340 in words is "twenty-five billion, two hundred thirty-four million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 467 610 793 934 1220 1586 1868 2335 3172 3407 3965 4670 6071 6814 7930 9340 12142 13628 15860 17035 24284 28487 30355 34070 44291 56974 60710 68140 88582 113948 121420 142435 177164 207827 221455 284870 370331 415654 442910 569740 740662 831308 885820 1039135 1481324 1591069 1851655 2078270 2701751 3182138 3703310 4156540 5403502 6364276 7406620 7955345 10807004 13508755 15910690 20683897 27017510 31821380 41367794 54035020 82735588 97055209 103419485 194110418 206838970 388220836 413677940 485276045 970552090 1261717717 1941104180 2523435434 5046870868 6308588585 12617177170 25234354340