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21343777734312 = 2333118983071437
BaseRepresentation
bin1001101101001011111000…
…10010100011111010101000
32210120110000120100021122000
410312211330102203322220
510244144024044444222
6113221110210331000
74332015465216615
oct466457422437250
983513016307560
1021343777734312
116889933110a40
122488697b89a60
13bba92c000377
1453b0899cb50c
152703022619ac
hex13697c4a3ea8

21343777734312 has 64 divisors (see below), whose sum is σ = 64678114353600. Its totient is φ = 6467811433920.

The previous prime is 21343777734311. The next prime is 21343777734319.

21343777734312 is a `hidden beast` number, since 2 + 134 + 3 + 7 + 7 + 7 + 73 + 431 + 2 = 666.

21343777734312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213437777343122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21343777734311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4491533343 + ... + 4491538094.

It is an arithmetic number, because the mean of its divisors is an integer number (1010595536775).

Almost surely, 221343777734312 is an apocalyptic number.

21343777734312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21343777734312 is an abundant number, since it is smaller than the sum of its proper divisors (43334336619288).

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

21343777734312 is a wasteful number, since it uses less digits than its factorization.

21343777734312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983071463 (or 8983071453 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

It can be divided in two parts, 2134377 and 7734312, that added together give a palindrome (9868689).

The spelling of 21343777734312 in words is "twenty-one trillion, three hundred forty-three billion, seven hundred seventy-seven million, seven hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 8983071437 17966142874 26949214311 35932285748 53898428622 71864571496 80847642933 98813785807 107796857244 161695285866 197627571614 215593714488 242542928799 296441357421 323390571732 395255143228 485085857598 592882714842 646781143464 790510286456 889324072263 970171715196 1185765429684 1778648144526 1940343430392 2371530859368 2667972216789 3557296289052 5335944433578 7114592578104 10671888867156 21343777734312