Search a number
-
+
12495712440 = 2335271384247
BaseRepresentation
bin10111010001100110…
…10111000010111000
31012020211212221222110
423220303113002320
5201042400244230
65423534252320
7621440542341
oct135063270270
935224787873
1012495712440
11533255a782
1225089570a0
131241a781b3
148677b90c8
154d203d4b0
hex2e8cd70b8

12495712440 has 64 divisors (see below), whose sum is σ = 37625564160. Its totient is φ = 3319885440.

The previous prime is 12495712433. The next prime is 12495712451. The reversal of 12495712440 is 4421759421.

12495712440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124957124402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 159604 + ... + 224643.

It is an arithmetic number, because the mean of its divisors is an integer number (587899440).

Almost surely, 212495712440 is an apocalyptic number.

12495712440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12495712440 is an abundant number, since it is smaller than the sum of its proper divisors (25129851720).

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

12495712440 is a wasteful number, since it uses less digits than its factorization.

12495712440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384532 (or 384528 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12495712440 in words is "twelve billion, four hundred ninety-five million, seven hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 384247 768494 1152741 1536988 1921235 2305482 3073976 3842470 4610964 5763705 7684940 9221928 11527410 15369880 23054820 46109640 104130937 208261874 312392811 416523748 520654685 624785622 833047496 1041309370 1249571244 1561964055 2082618740 2499142488 3123928110 4165237480 6247856220 12495712440