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12460856500 = 2253534311091
BaseRepresentation
bin10111001101011100…
…11001010010110100
31012011102022002121201
423212232121102310
5201004434402000
65420251222244
7620535350461
oct134656312264
935142262551
1012460856500
115314912a14
1224b9147984
131237792b91
14862d04668
154cde5596a
hex2e6b994b4

12460856500 has 96 divisors (see below), whose sum is σ = 27817800192. Its totient is φ = 4874480000.

The previous prime is 12460856479. The next prime is 12460856501. The reversal of 12460856500 is 565806421.

It is a self number, because there is not a number n which added to its sum of digits gives 12460856500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12460856501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11420955 + ... + 11422045.

It is an arithmetic number, because the mean of its divisors is an integer number (289768752).

Almost surely, 212460856500 is an apocalyptic number.

12460856500 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 12460856500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908900096).

12460856500 is an abundant number, since it is smaller than the sum of its proper divisors (15356943692).

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

12460856500 is a wasteful number, since it uses less digits than its factorization.

12460856500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 12460856500 in words is "twelve billion, four hundred sixty million, eight hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 431 500 530 862 1060 1091 1325 1724 2155 2182 2650 4310 4364 5300 5455 6625 8620 10775 10910 13250 21550 21820 22843 26500 27275 43100 45686 53875 54550 57823 91372 107750 109100 114215 115646 136375 215500 228430 231292 272750 289115 456860 470221 545500 571075 578230 940442 1142150 1156460 1445575 1880884 2284300 2351105 2855375 2891150 4702210 5710750 5782300 7227875 9404420 11421500 11755525 14455750 23511050 24921713 28911500 47022100 49843426 58777625 99686852 117555250 124608565 235110500 249217130 498434260 623042825 1246085650 2492171300 3115214125 6230428250 12460856500