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12442447524 = 22313671816577
BaseRepresentation
bin10111001011010000…
…01010111010100100
31012010010122211020210
423211220022322210
5200440231310044
65414352455420
7620223026133
oct134550127244
935103584223
1012442447524
115305489a91
1224b2b4a570
131233a189b0
148606b191a
154cc51b1b9
hex2e5a0aea4

12442447524 has 96 divisors (see below), whose sum is σ = 31912456576. Its totient is φ = 3749898240.

The previous prime is 12442447487. The next prime is 12442447573. The reversal of 12442447524 is 42574424421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1888524 + ... + 1895100.

Almost surely, 212442447524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442447524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956228288).

12442447524 is an abundant number, since it is smaller than the sum of its proper divisors (19470009052).

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

12442447524 is a wasteful number, since it uses less digits than its factorization.

12442447524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6843 counting only the distinct ones).

The product of its digits is 286720, while the sum is 39.

The spelling of 12442447524 in words is "twelve billion, four hundred forty-two million, four hundred forty-seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 181 201 268 362 402 543 724 804 871 1086 1742 2172 2353 2613 3484 4706 5226 6577 7059 9412 10452 12127 13154 14118 19731 24254 26308 28236 36381 39462 48508 72762 78924 85501 145524 157651 171002 256503 315302 342004 440659 472953 513006 630604 881318 945906 1026012 1190437 1321977 1762636 1891812 2380874 2643954 3571311 4761748 5287908 5728567 7142622 11457134 14285244 15475681 17185701 22914268 30951362 34371402 46427043 61902724 68742804 79759279 92854086 159518558 185708172 239277837 319037116 478555674 957111348 1036870627 2073741254 3110611881 4147482508 6221223762 12442447524