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14764015056 = 24371910322453
BaseRepresentation
bin11011100000000000…
…01111110111010000
31102002221002200012110
431300000033313100
5220214041440211
610441004025320
71031603025450
oct156000176720
942087080173
1014764015056
1162969a103a
122a40532240
1315139a28ab
14a00b55d60
155b624cea6
hex37000fdd0

14764015056 has 160 divisors (see below), whose sum is σ = 46330685440. Its totient is φ = 3957299712.

The previous prime is 14764015051. The next prime is 14764015061. The reversal of 14764015056 is 65051046741.

It is an interprime number because it is at equal distance from previous prime (14764015051) and next prime (14764015061).

It is a super-2 number, since 2×147640150562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14764015051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646326 + ... + 668778.

It is an arithmetic number, because the mean of its divisors is an integer number (289566784).

Almost surely, 214764015056 is an apocalyptic number.

14764015056 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 14764015056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23165342720).

14764015056 is an abundant number, since it is smaller than the sum of its proper divisors (31566670384).

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

14764015056 is a wasteful number, since it uses less digits than its factorization.

14764015056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22593 (or 22587 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 14764015056 in words is "fourteen billion, seven hundred sixty-four million, fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 103 112 114 133 152 168 206 228 266 304 309 336 399 412 456 532 618 721 798 824 912 1064 1236 1442 1596 1648 1957 2128 2163 2472 2884 3192 3914 4326 4944 5768 5871 6384 7828 8652 11536 11742 13699 15656 17304 22453 23484 27398 31312 34608 41097 44906 46968 54796 67359 82194 89812 93936 109592 134718 157171 164388 179624 219184 269436 314342 328776 359248 426607 471513 538872 628684 657552 853214 943026 1077744 1257368 1279821 1706428 1886052 2312659 2514736 2559642 2986249 3412856 3772104 4625318 5119284 5972498 6825712 6937977 7544208 8958747 9250636 10238568 11944996 13875954 16188613 17917494 18501272 20477136 23889992 27751908 32377226 35834988 37002544 43940521 47779984 48565839 55503816 64754452 71669976 87881042 97131678 111007632 129508904 131821563 143339952 175762084 194263356 259017808 263643126 307583647 351524168 388526712 527286252 615167294 703048336 777053424 922750941 1054572504 1230334588 1845501882 2109145008 2460669176 3691003764 4921338352 7382007528 14764015056