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12400258152 = 2331579193581
BaseRepresentation
bin10111000110001110…
…01110110001101000
31012000012021101022110
423203013032301220
5200343431230102
65410244322320
7616201312062
oct134307166150
935005241273
1012400258152
115293693537
1224a09a33a0
131228066779
14858c4c732
154c898586c
hex2e31cec68

12400258152 has 64 divisors (see below), whose sum is σ = 31240771200. Its totient is φ = 4101477120.

The previous prime is 12400258139. The next prime is 12400258177. The reversal of 12400258152 is 25185200421.

12400258152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3461002 + ... + 3464582.

It is an arithmetic number, because the mean of its divisors is an integer number (488137050).

Almost surely, 212400258152 is an apocalyptic number.

12400258152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12400258152 is an abundant number, since it is smaller than the sum of its proper divisors (18840513048).

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

12400258152 is a wasteful number, since it uses less digits than its factorization.

12400258152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 12400258152 its reverse (25185200421), we get a palindrome (37585458573).

The spelling of 12400258152 in words is "twelve billion, four hundred million, two hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 157 314 471 628 919 942 1256 1838 1884 2757 3581 3676 3768 5514 7162 7352 10743 11028 14324 21486 22056 28648 42972 85944 144283 288566 432849 562217 577132 865698 1124434 1154264 1686651 1731396 2248868 3290939 3373302 3462792 4497736 6581878 6746604 9872817 13163756 13493208 19745634 26327512 39491268 78982536 516677423 1033354846 1550032269 2066709692 3100064538 4133419384 6200129076 12400258152