Search a number
-
+
1013943607292 = 2271167379129643
BaseRepresentation
bin11101100000100111011…
…11111001111111111100
310120221011110210001210202
432300103233321333330
5113103024030413132
62053444350223032
7133153316313230
oct16602357717774
93527143701722
101013943607292
11361013807490
121446137b4a78
13747cacc1645
143710a2405c0
151b59595a762
hexec13bf9ffc

1013943607292 has 96 divisors (see below), whose sum is σ = 2251200645120. Its totient is φ = 388117033920.

The previous prime is 1013943607291. The next prime is 1013943607321. The reversal of 1013943607292 is 2927063493101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013943607291) 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, 7756223 + ... + 7885865.

It is an arithmetic number, because the mean of its divisors is an integer number (23450006720).

Almost surely, 21013943607292 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 1013943607292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125600322560).

1013943607292 is an abundant number, since it is smaller than the sum of its proper divisors (1237257037828).

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

1013943607292 is a wasteful number, since it uses less digits than its factorization.

1013943607292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130111 (or 130109 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 1013943607292 in words is "one trillion, thirteen billion, nine hundred forty-three million, six hundred seven thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 379 469 737 758 938 1474 1516 1876 2653 2948 4169 5159 5306 8338 10318 10612 16676 20636 25393 29183 50786 58366 101572 116732 129643 177751 259286 279323 355502 518572 558646 711004 907501 1117292 1426073 1815002 1955261 2852146 3630004 3910522 5704292 7821044 8686081 9982511 17372162 19965022 34744324 39930044 49134697 60802567 95546891 98269394 121605134 191093782 196538788 243210268 343942879 382187564 540481667 668828237 687885758 1080963334 1337656474 1375771516 2161926668 2675312948 3292024699 3783371669 6584049398 7566743338 13168098796 15133486676 23044172893 36212271689 46088345786 72424543378 92176691572 144849086756 253485901823 506971803646 1013943607292