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25212004040 = 23511318130817
BaseRepresentation
bin10111011110110000…
…001010011011001000
32102002001211111200102
4113132300022123020
5403113233112130
615325432424532
71551530332646
oct273660123310
972061744612
1025212004040
11a768578883
124a77548148
1324ba4345b2
1413125b2196
159c85ed645
hex5dec0a6c8

25212004040 has 64 divisors (see below), whose sum is σ = 57547067760. Its totient is φ = 9940008960.

The previous prime is 25212004009. The next prime is 25212004049. The reversal of 25212004040 is 4040021252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1467043204 + 23744960836 = 38302^2 + 154094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (25212004049) 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 15 ways as a sum of consecutive naturals, for example, 802712 + ... + 833528.

Almost surely, 225212004040 is an apocalyptic number.

25212004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25212004040 is an abundant number, since it is smaller than the sum of its proper divisors (32335063720).

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

25212004040 is a wasteful number, since it uses less digits than its factorization.

25212004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31122 (or 31118 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 25212004040 its reverse (4040021252), we get a palindrome (29252025292).

The spelling of 25212004040 in words is "twenty-five billion, two hundred twelve million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 181 226 362 452 565 724 904 905 1130 1448 1810 2260 3620 4520 7240 20453 30817 40906 61634 81812 102265 123268 154085 163624 204530 246536 308170 409060 616340 818120 1232680 3482321 5577877 6964642 11155754 13929284 17411605 22311508 27858568 27889385 34823210 44623016 55778770 69646420 111557540 139292840 223115080 630300101 1260600202 2521200404 3151500505 5042400808 6303001010 12606002020 25212004040