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12383384496 = 243731238351
BaseRepresentation
bin10111000100001101…
…10111001110110000
31011222000112010000020
423202012313032300
5200330121300441
65404442523440
7615605013540
oct134206671660
934860463006
1012383384496
11528510906a
122497206580
131224709362
148568d9320
154c7250e66
hex2e21b73b0

12383384496 has 120 divisors (see below), whose sum is σ = 37778867712. Its totient is φ = 3423888000.

The previous prime is 12383384423. The next prime is 12383384513. The reversal of 12383384496 is 69448338321.

12383384496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123833844963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303721 + ... + 342071.

Almost surely, 212383384496 is an apocalyptic number.

12383384496 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 12383384496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889433856).

12383384496 is an abundant number, since it is smaller than the sum of its proper divisors (25395483216).

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

12383384496 is a wasteful number, since it uses less digits than its factorization.

12383384496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38431 (or 38394 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 12383384496 in words is "twelve billion, three hundred eighty-three million, three hundred eighty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 961 1302 1488 1736 1922 2604 2883 3472 3844 5208 5766 6727 7688 10416 11532 13454 15376 20181 23064 26908 38351 40362 46128 53816 76702 80724 107632 115053 153404 161448 230106 268457 306808 322896 460212 536914 613616 805371 920424 1073828 1188881 1610742 1840848 2147656 2377762 3221484 3566643 4295312 4755524 6442968 7133286 8322167 9511048 12885936 14266572 16644334 19022096 24966501 28533144 33288668 36855311 49933002 57066288 66577336 73710622 99866004 110565933 133154672 147421244 199732008 221131866 257987177 294842488 399464016 442263732 515974354 589684976 773961531 884527464 1031948708 1547923062 1769054928 2063897416 3095846124 4127794832 6191692248 12383384496