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12219677904 = 2437731313803
BaseRepresentation
bin10110110000101100…
…10111110011010000
31011112121110221210010
423120112113303100
5200011214143104
65340314034520
7611546356050
oct133026276320
934477427703
1012219677904
115200764965
122450418a40
1311c981b755
1483cc83560
154b7bb5489
hex2d8597cd0

12219677904 has 160 divisors (see below), whose sum is σ = 36860212224. Its totient is φ = 3416325120.

The previous prime is 12219677881. The next prime is 12219677923. The reversal of 12219677904 is 40977691221.

12219677904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 3211267 + ... + 3215069.

Almost surely, 212219677904 is an apocalyptic number.

12219677904 is a gapful number since it is divisible by the number (14) 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 12219677904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430106112).

12219677904 is an abundant number, since it is smaller than the sum of its proper divisors (24640534320).

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

12219677904 is a wasteful number, since it uses less digits than its factorization.

12219677904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 12219677904 in words is "twelve billion, two hundred nineteen million, six hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 131 146 168 219 262 292 336 393 438 511 524 584 786 876 917 1022 1048 1168 1533 1572 1752 1834 2044 2096 2751 3066 3144 3504 3668 3803 4088 5502 6132 6288 7336 7606 8176 9563 11004 11409 12264 14672 15212 19126 22008 22818 24528 26621 28689 30424 38252 44016 45636 53242 57378 60848 66941 76504 79863 91272 106484 114756 133882 153008 159726 182544 200823 212968 229512 267764 277619 319452 401646 425936 459024 498193 535528 555238 638904 803292 832857 996386 1071056 1110476 1277808 1494579 1606584 1665714 1943333 1992772 2220952 2989158 3213168 3331428 3487351 3886666 3985544 4441904 5829999 5978316 6662856 6974702 7773332 7971088 10462053 11659998 11956632 13325712 13949404 15546664 20924106 23319996 23913264 27898808 31093328 36368089 41848212 46639992 55797616 72736178 83696424 93279984 109104267 145472356 167392848 218208534 254576623 290944712 436417068 509153246 581889424 763729869 872834136 1018306492 1527459738 1745668272 2036612984 3054919476 4073225968 6109838952 12219677904