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12500052400 = 24521117167113
BaseRepresentation
bin10111010010000111…
…11010100110110000
31012021011001110021201
423221003322212300
5201100003134100
65424211300544
7621522456313
oct135103724660
935234043251
1012500052400
115334a54420
12250a2aa754
131242937714
148681c897a
154d25e936a
hex2e90fa9b0

12500052400 has 120 divisors (see below), whose sum is σ = 34688855664. Its totient is φ = 4278067200.

The previous prime is 12500052353. The next prime is 12500052401. The reversal of 12500052400 is 425000521.

12500052400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12500052401) 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 23 ways as a sum of consecutive naturals, for example, 8757 + ... + 158356.

Almost surely, 212500052400 is an apocalyptic number.

12500052400 is a gapful number since it is divisible by the number (10) 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 12500052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344427832).

12500052400 is an abundant number, since it is smaller than the sum of its proper divisors (22188803264).

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

12500052400 is a wasteful number, since it uses less digits than its factorization.

12500052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167159 (or 167148 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 12500052400 its reverse (425000521), we get a palindrome (12925052921).

The spelling of 12500052400 in words is "twelve billion, five hundred million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 167113 334226 668452 835565 1336904 1671130 1838243 2673808 2840921 3342260 3676486 4177825 5681842 6684520 7352972 8355650 9191215 11363684 13369040 14204605 14705944 16711300 18382430 22727368 28409210 29411888 31250131 33422600 36764860 45454736 45956075 56818420 62500262 66845200 71023025 73529720 91912150 113636840 125000524 142046050 147059440 156250655 183824300 227273680 250001048 284092100 312501310 367648600 500002096 568184200 625002620 735297200 781253275 1136368400 1250005240 1562506550 2500010480 3125013100 6250026200 12500052400