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12196933416 = 23321982710781
BaseRepresentation
bin10110101101111111…
…00110111100101000
31011111000200102012200
423112333212330220
5144434403332131
65334142340200
7611152136433
oct132677467450
934430612180
1012196933416
11519993a668
12244488a660
1311c4bb7085
14839c4281a
154b5bc12e6
hex2d6fe6f28

12196933416 has 96 divisors (see below), whose sum is σ = 34817234400. Its totient is φ = 3846648960.

The previous prime is 12196933379. The next prime is 12196933429. The reversal of 12196933416 is 61433969121.

12196933416 is a `hidden beast` number, since 1 + 219 + 6 + 93 + 341 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125946 + ... + 1136726.

It is an arithmetic number, because the mean of its divisors is an integer number (362679525).

Almost surely, 212196933416 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 12196933416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408617200).

12196933416 is an abundant number, since it is smaller than the sum of its proper divisors (22620300984).

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

12196933416 is a wasteful number, since it uses less digits than its factorization.

12196933416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11639 (or 11632 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 12196933416 in words is "twelve billion, one hundred ninety-six million, nine hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 827 1368 1654 2481 3308 4962 6616 7443 9924 10781 14886 15713 19848 21562 29772 31426 32343 43124 47139 59544 62852 64686 86248 94278 97029 125704 129372 141417 188556 194058 204839 258744 282834 377112 388116 409678 565668 614517 776232 819356 1131336 1229034 1638712 1843551 2458068 3687102 4916136 7374204 8915887 14748408 17831774 26747661 35663548 53495322 71327096 80242983 106990644 160485966 169401853 213981288 320971932 338803706 508205559 641943864 677607412 1016411118 1355214824 1524616677 2032822236 3049233354 4065644472 6098466708 12196933416