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19783401378 = 231323311272801
BaseRepresentation
bin10010011011001011…
…101011111110100010
31220001201221220210120
4102123023223332202
5311004022321003
613031030541110
71300152065016
oct223313537642
956051856716
1019783401378
11843223a2a4
123a01507796
131b3385b480
14d59622546
157abc33853
hex49b2ebfa2

19783401378 has 128 divisors (see below), whose sum is σ = 46275231744. Its totient is φ = 5588352000.

The previous prime is 19783401317. The next prime is 19783401383. The reversal of 19783401378 is 87310438791.

It is a self number, because there is not a number n which added to its sum of digits gives 19783401378.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7061578 + ... + 7064378.

It is an arithmetic number, because the mean of its divisors is an integer number (361525248).

Almost surely, 219783401378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19783401378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137615872).

19783401378 is an abundant number, since it is smaller than the sum of its proper divisors (26491830366).

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

19783401378 is a wasteful number, since it uses less digits than its factorization.

19783401378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000.

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 19783401378 in words is "nineteen billion, seven hundred eighty-three million, four hundred one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 127 138 186 254 299 381 403 598 713 762 806 897 1209 1426 1651 1794 2139 2418 2801 2921 3302 3937 4278 4953 5602 5842 7874 8403 8763 9269 9906 11811 16806 17526 18538 23622 27807 36413 37973 51181 55614 64423 72826 75946 86831 90551 102362 109239 113919 128846 153543 173662 181102 193269 218478 227838 260493 271653 307086 355727 386538 520986 543306 711454 837499 1067181 1128803 1177163 1674998 1997113 2134362 2257606 2354326 2512497 3386409 3531489 3994226 4624451 5024994 5991339 6772818 7062978 8181721 9248902 11027537 11982678 13873353 16363442 22055074 24545163 25962469 27746706 33082611 49090326 51924938 66165222 77887407 106362373 143357981 155774814 212724746 253633351 286715962 319087119 430073943 507266702 638174238 760900053 860147886 1521800106 3297233563 6594467126 9891700689 19783401378