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1004260197408 = 253132169936433
BaseRepresentation
bin11101001110100101001…
…00101000010000100000
310120000011121201212200020
432213102210220100200
5112423211102304113
62045203433153440
7132361334555436
oct16472244502040
93500147655606
101004260197408
113579a47782a6
1214277085b880
1373916a90300
143686c16cd56
151b1ca787023
hexe9d2928420

1004260197408 has 144 divisors (see below), whose sum is σ = 2856323584800. Its totient is φ = 308812787712.

The previous prime is 1004260197379. The next prime is 1004260197467. The reversal of 1004260197408 is 8047910624001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004260197408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27546360 + ... + 27582792.

It is an arithmetic number, because the mean of its divisors is an integer number (19835580450).

Almost surely, 21004260197408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004260197408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428161792400).

1004260197408 is an abundant number, since it is smaller than the sum of its proper divisors (1852063387392).

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

1004260197408 is a wasteful number, since it uses less digits than its factorization.

1004260197408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38171 (or 38150 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1004260197408 in words is "one trillion, four billion, two hundred sixty million, one hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 1699 2028 2704 3398 4056 5097 5408 6796 8112 10194 13592 16224 20388 22087 27184 36433 40776 44174 54368 66261 72866 81552 88348 109299 132522 145732 163104 176696 218598 265044 287131 291464 353392 437196 473629 530088 574262 582928 706784 861393 874392 947258 1060176 1148524 1165856 1420887 1722786 1748784 1894516 2120352 2297048 2841774 3445572 3497568 3789032 4594096 5683548 6157177 6891144 7578064 9188192 11367096 12314354 13782288 15156128 18471531 22734192 24628708 27564576 36943062 45468384 49257416 61899667 73886124 98514832 123799334 147772248 185699001 197029664 247598668 295544496 371398002 495197336 591088992 742796004 804695671 990394672 1485592008 1609391342 1980789344 2414087013 2971184016 3218782684 4828174026 5942368032 6437565368 9656348052 10461043723 12875130736 19312696104 20922087446 25750261472 31383131169 38625392208 41844174892 62766262338 77250784416 83688349784 125532524676 167376699568 251065049352 334753399136 502130098704 1004260197408