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25305225132 = 22311271924239
BaseRepresentation
bin10111100100010011…
…110001011110101100
32102022120020121222110
4113210103301132230
5403311114201012
615343002444020
71554041602365
oct274423613654
972276217873
1025305225132
11a80615a200
124aa2803610
1325038436c5
141320b1ab6c
159d18b473c
hex5e44f17ac

25305225132 has 72 divisors (see below), whose sum is σ = 64994227200. Its totient is φ = 7657268960.

The previous prime is 25305225131. The next prime is 25305225149. The reversal of 25305225132 is 23152250352.

It is a self number, because there is not a number n which added to its sum of digits gives 25305225132.

It is not an unprimeable number, because it can be changed into a prime (25305225131) 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 23 ways as a sum of consecutive naturals, for example, 1031869 + ... + 1056107.

It is an arithmetic number, because the mean of its divisors is an integer number (902697600).

Almost surely, 225305225132 is an apocalyptic number.

25305225132 is a gapful number since it is divisible by the number (22) 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 25305225132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497113600).

25305225132 is an abundant number, since it is smaller than the sum of its proper divisors (39689002068).

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

25305225132 is a wasteful number, since it uses less digits than its factorization.

25305225132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 25305225132 its reverse (23152250352), we get a palindrome (48457475484).

The spelling of 25305225132 in words is "twenty-five billion, three hundred five million, two hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 719 726 1438 1452 2157 2876 4314 7909 8628 15818 23727 24239 31636 47454 48478 72717 86999 94908 96956 145434 173998 260997 266629 290868 347996 521994 533258 799887 1043988 1066516 1599774 2932919 3199548 5865838 8798757 11731676 17427841 17597514 34855682 35195028 52283523 69711364 104567046 191706251 209134092 383412502 575118753 766825004 1150237506 2108768761 2300475012 4217537522 6326306283 8435075044 12652612566 25305225132