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19409342764 = 22721923415527
BaseRepresentation
bin10010000100111000…
…110001000100101100
31212002200002202211211
4102010320301010230
5304222242432024
612525545324204
71254660456100
oct220470610454
955080082754
1019409342764
118260082549
123918196664
131aa4200706
14d21a91900
15788e96594
hex484e3112c

19409342764 has 144 divisors (see below), whose sum is σ = 44466347520. Its totient is φ = 7352674560.

The previous prime is 19409342753. The next prime is 19409342819. The reversal of 19409342764 is 46724390491.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 47 ways as a sum of consecutive naturals, for example, 3508969 + ... + 3514495.

It is an arithmetic number, because the mean of its divisors is an integer number (308794080).

Almost surely, 219409342764 is an apocalyptic number.

19409342764 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 19409342764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233173760).

19409342764 is an abundant number, since it is smaller than the sum of its proper divisors (25057004756).

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

19409342764 is a wasteful number, since it uses less digits than its factorization.

19409342764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 19409342764 in words is "nineteen billion, four hundred nine million, three hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 23 28 38 41 46 49 76 82 92 98 133 161 164 196 266 287 322 437 532 574 644 779 874 931 943 1127 1148 1558 1748 1862 1886 2009 2254 3059 3116 3724 3772 4018 4508 5453 5527 6118 6601 8036 10906 11054 12236 13202 17917 21413 21812 22108 26404 35834 38171 38689 42826 46207 71668 76342 77378 85652 92414 105013 125419 127121 152684 154756 184828 210026 226607 250838 254242 270823 420052 453214 501676 508484 541646 735091 877933 889847 906428 1083292 1470182 1586249 1755866 1779694 2415299 2940364 3172498 3511732 3559388 4305533 4830598 5145637 5211961 6228929 6344996 8611066 9661196 10291274 10423922 11103743 12457858 16907093 17222132 20582548 20847844 22207486 24915716 30138731 33814186 36483727 44414972 60277462 67628372 72967454 99027259 118349651 120554924 145934908 198054518 210971117 236699302 255386089 396109036 421942234 473398604 510772178 693190813 843884468 1021544356 1386381626 2772763252 4852335691 9704671382 19409342764