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19773211968 = 26344797963
BaseRepresentation
bin10010011010100100…
…110100010101000000
31220001000210020120000
4102122210310111000
5310443420240333
613030024320000
71266666346206
oct223244642500
956030706500
1019773211968
11842750a8a4
1239ba013000
131b31701633
14d5812d076
157aadbe713
hex49a934540

19773211968 has 140 divisors (see below), whose sum is σ = 58743738240. Its totient is φ = 6576484608.

The previous prime is 19773211951. The next prime is 19773212027. The reversal of 19773211968 is 86911237791.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479155 + ... + 2487117.

Almost surely, 219773211968 is an apocalyptic number.

19773211968 is a gapful number since it is divisible by the number (18) 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 19773211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29371869120).

19773211968 is an abundant number, since it is smaller than the sum of its proper divisors (38970526272).

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

19773211968 is an equidigital number, since it uses as much as digits as its factorization.

19773211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8447 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 19773211968 in words is "nineteen billion, seven hundred seventy-three million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 479 576 648 864 958 1296 1437 1728 1916 2592 2874 3832 4311 5184 5748 7664 7963 8622 11496 12933 15328 15926 17244 22992 23889 25866 30656 31852 34488 38799 45984 47778 51732 63704 68976 71667 77598 91968 95556 103464 127408 137952 143334 155196 191112 206928 215001 254816 275904 286668 310392 382224 413856 430002 509632 573336 620784 645003 764448 827712 860004 1146672 1241568 1290006 1528896 1720008 2293344 2483136 2580012 3440016 3814277 4586688 5160024 6880032 7628554 10320048 11442831 13760064 15257108 20640096 22885662 30514216 34328493 41280192 45771324 61028432 68656986 91542648 102985479 122056864 137313972 183085296 205970958 244113728 274627944 308956437 366170592 411941916 549255888 617912874 732341184 823883832 1098511776 1235825748 1647767664 2197023552 2471651496 3295535328 4943302992 6591070656 9886605984 19773211968