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12320717616 = 2432374749201
BaseRepresentation
bin10110111100101111…
…10011101100110000
31011210122121022012200
423132113303230300
5200213100430431
65354323423200
7614214241344
oct133627635460
934718538180
1012320717616
1152527a6559
12247a224b00
13121473756c
1484c465624
154c19c2ee6
hex2de5f3b30

12320717616 has 120 divisors (see below), whose sum is σ = 36167012544. Its totient is φ = 3910809600.

The previous prime is 12320717611. The next prime is 12320717639. The reversal of 12320717616 is 61671702321.

It is a happy number.

12320717616 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 7 + 17 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12320717611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225816 + ... + 275016.

Almost surely, 212320717616 is an apocalyptic number.

12320717616 is a gapful number since it is divisible by the number (16) 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 12320717616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083506272).

12320717616 is an abundant number, since it is smaller than the sum of its proper divisors (23846294928).

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

12320717616 is a wasteful number, since it uses less digits than its factorization.

12320717616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299 (or 49290 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12320717616 in words is "twelve billion, three hundred twenty million, seven hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 141 144 148 188 222 282 296 333 376 423 444 564 592 666 752 846 888 1128 1332 1692 1739 1776 2256 2664 3384 3478 5217 5328 6768 6956 10434 13912 15651 20868 27824 31302 41736 49201 62604 83472 98402 125208 147603 196804 250416 295206 393608 442809 590412 787216 885618 1180824 1771236 1820437 2312447 2361648 3542472 3640874 4624894 5461311 6937341 7084944 7281748 9249788 10922622 13874682 14563496 16383933 18499576 20812023 21845244 27749364 29126992 32767866 36999152 41624046 43690488 55498728 65535732 83248092 85560539 87380976 110997456 131071464 166496184 171121078 256681617 262142928 332992368 342242156 513363234 684484312 770044851 1026726468 1368968624 1540089702 2053452936 3080179404 4106905872 6160358808 12320717616