Search a number
-
+
6136277781260 = 22511199433323699
BaseRepresentation
bin101100101001011011010…
…1010000100101100001100
3210201121210202020010110002
41121102312222010230030
51301014044103000020
621014544520503432
71202221453353614
oct131226652045414
923647722203402
106136277781260
111a56420920560
1283130301ab78
13356857a1bba3
14172dd6d35a44
15a9943004975
hex594b6a84b0c

6136277781260 has 96 divisors (see below), whose sum is σ = 14160968640000. Its totient is φ = 2215026570240.

The previous prime is 6136277781199. The next prime is 6136277781301. The reversal of 6136277781260 is 621877726316.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6136277781196 and 6136277781205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18794891 + ... + 19118589.

It is an arithmetic number, because the mean of its divisors is an integer number (147510090000).

Almost surely, 26136277781260 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 6136277781260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080484320000).

6136277781260 is an abundant number, since it is smaller than the sum of its proper divisors (8024690858740).

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

6136277781260 is a wasteful number, since it uses less digits than its factorization.

6136277781260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324351 (or 324349 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 6136277781260 in words is "six trillion, one hundred thirty-six billion, two hundred seventy-seven million, seven hundred eighty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 433 796 866 995 1732 1990 2165 2189 3980 4330 4378 4763 8660 8756 9526 10945 19052 21890 23815 43780 47630 86167 95260 172334 323699 344668 430835 647398 861670 947837 1294796 1618495 1723340 1895674 3236990 3560689 3791348 4739185 6473980 7121378 9478370 14242756 17803445 18956740 35606890 64416101 71213780 128832202 140161667 257664404 280323334 322080505 560646668 644161010 700808335 708577111 1288322020 1401616670 1417154222 1541778337 2803233340 2834308444 3083556674 3542885555 6167113348 7085771110 7708891685 14171542220 15417783370 27892171733 30835566740 55784343466 111568686932 139460858665 278921717330 306813889063 557843434660 613627778126 1227255556252 1534069445315 3068138890630 6136277781260