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12396200393136 = 2437277133189363
BaseRepresentation
bin1011010001100011011100…
…0111101111100110110000
31121220001202112000110001010
42310120313013233212300
53111044404300040021
642210422535310520
72416411254542340
oct264306707574660
947801675013033
1012396200393136
113a4a220a5433a
12148257251b440
136bbc58aa0731
1430bd9d2b2d20
151676c0e79976
hexb46371ef9b0

12396200393136 has 80 divisors (see below), whose sum is σ = 36730430046464. Its totient is φ = 3528985335552.

The previous prime is 12396200393119. The next prime is 12396200393207. The reversal of 12396200393136 is 63139300269321.

It is a happy number.

It is a super-3 number, since 3×123962003931363 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66501610 + ... + 66687753.

Almost surely, 212396200393136 is an apocalyptic number.

12396200393136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12396200393136 is an abundant number, since it is smaller than the sum of its proper divisors (24334229653328).

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

12396200393136 is a wasteful number, since it uses less digits than its factorization.

12396200393136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133189658 (or 133189652 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The spelling of 12396200393136 in words is "twelve trillion, three hundred ninety-six billion, two hundred million, three hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 831 1108 1662 1939 2216 3324 3878 4432 5817 6648 7756 11634 13296 15512 23268 31024 46536 93072 133189363 266378726 399568089 532757452 799136178 932325541 1065514904 1598272356 1864651082 2131029808 2796976623 3196544712 3729302164 5593953246 6393089424 7458604328 11187906492 14917208656 22375812984 36893453551 44751625968 73786907102 110680360653 147573814204 221360721306 258254174857 295147628408 442721442612 516508349714 590295256816 774762524571 885442885224 1033016699428 1549525049142 1770885770448 2066033398856 3099050098284 4132066797712 6198100196568 12396200393136