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12384002368752 = 2437169693217199
BaseRepresentation
bin1011010000110110000000…
…0011111110010011110000
31121211220021102021121022020
42310031200003332103300
53110344414101300002
642201044313311440
72415500060210130
oct264154003762360
947756242247266
1012384002368752
113a4503153a053
121480129405580
136baa638c3c21
1430b563268ac0
1516720a1402bc
hexb43600fe4f0

12384002368752 has 80 divisors (see below), whose sum is σ = 36562676505600. Its totient is φ = 3538249249536.

The previous prime is 12384002368729. The next prime is 12384002368819. The reversal of 12384002368752 is 25786320048321.

It is a junction number, because it is equal to n+sod(n) for n = 12384002368695 and 12384002368704.

It is a congruent number.

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, 56908249 + ... + 57125447.

It is an arithmetic number, because the mean of its divisors is an integer number (457033456320).

Almost surely, 212384002368752 is an apocalyptic number.

12384002368752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12384002368752 is an abundant number, since it is smaller than the sum of its proper divisors (24178674136848).

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

12384002368752 is a wasteful number, since it uses less digits than its factorization.

12384002368752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386910 (or 386904 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 12384002368752 in words is "twelve trillion, three hundred eighty-four billion, two million, three hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 169693 217199 339386 434398 509079 651597 678772 868796 1018158 1187851 1303194 1357544 1520393 1737592 2036316 2375702 2606388 2715088 3040786 3475184 3563553 4072632 4561179 4751404 5212776 6081572 7127106 8145264 9122358 9502808 10425552 12163144 14254212 18244716 19005616 24326288 28508424 36489432 57016848 72978864 36857149907 73714299814 110571449721 147428599628 221142899442 258000049349 294857199256 442285798884 516000098698 589714398512 774000148047 884571597768 1032000197396 1548000296094 1769143195536 2064000394792 3096000592188 4128000789584 6192001184376 12384002368752