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12415145200 = 245271437153
BaseRepresentation
bin10111001000000000…
…00001010011110000
31012001020021201111121
423210000001103300
5200411234121300
65411535352024
7616441664413
oct134400012360
935036251447
1012415145200
1152a1031387
1224a5982614
13122b179883
1485ac05b7a
154c9e2681a
hex2e40014f0

12415145200 has 60 divisors (see below), whose sum is σ = 30247559568. Its totient is φ = 4896102400.

The previous prime is 12415145173. The next prime is 12415145213. The reversal of 12415145200 is 254151421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190177 + ... + 246976.

Almost surely, 212415145200 is an apocalyptic number.

12415145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12415145200 is an abundant number, since it is smaller than the sum of its proper divisors (17832414368).

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

12415145200 is a wasteful number, since it uses less digits than its factorization.

12415145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437242 (or 437231 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 12415145200 its reverse (254151421), we get a palindrome (12669296621).

The spelling of 12415145200 in words is "twelve billion, four hundred fifteen million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5680 7100 14200 28400 437153 874306 1748612 2185765 3497224 4371530 6994448 8743060 10928825 17486120 21857650 31037863 34972240 43715300 62075726 87430600 124151452 155189315 174861200 248302904 310378630 496605808 620757260 775946575 1241514520 1551893150 2483029040 3103786300 6207572600 12415145200