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12843416496 = 2431737342197
BaseRepresentation
bin10111111011000011…
…01111101110110000
31020011002011011021110
423331201233232300
5202300403311441
65522234553320
7633162144651
oct137541575660
936132134243
1012843416496
1154a08569a9
1225a5298840
131298b09341
1489ba49528
15502821b16
hex2fd86fbb0

12843416496 has 80 divisors (see below), whose sum is σ = 35225540064. Its totient is φ = 4018409472.

The previous prime is 12843416483. The next prime is 12843416497. The reversal of 12843416496 is 69461434821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12843416497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283270 + ... + 325466.

Almost surely, 212843416496 is an apocalyptic number.

12843416496 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 12843416496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612770032).

12843416496 is an abundant number, since it is smaller than the sum of its proper divisors (22382123568).

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

12843416496 is a wasteful number, since it uses less digits than its factorization.

12843416496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42598 (or 42592 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 12843416496 in words is "twelve billion, eight hundred forty-three million, four hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 373 408 746 816 1119 1492 2238 2984 4476 5968 6341 8952 12682 17904 19023 25364 38046 42197 50728 76092 84394 101456 126591 152184 168788 253182 304368 337576 506364 675152 717349 1012728 1434698 2025456 2152047 2869396 4304094 5738792 8608188 11477584 15739481 17216376 31478962 34432752 47218443 62957924 94436886 125915848 188873772 251831696 267571177 377747544 535142354 755495088 802713531 1070284708 1605427062 2140569416 3210854124 4281138832 6421708248 12843416496