Search a number
-
+
1079044970560 = 26523613239167
BaseRepresentation
bin11111011001111000001…
…01111001100001000000
310211011012111110222101021
433230330011321201000
5120134341003024220
62143412330315224
7140646511626154
oct17547405714100
93734174428337
101079044970560
11386690834247
12155161b88b14
137a9a45aa57b
143a32441d064
151d105e884aa
hexfb3c179840

1079044970560 has 112 divisors (see below), whose sum is σ = 2685577291776. Its totient is φ = 412176771072.

The previous prime is 1079044970527. The next prime is 1079044970561. The reversal of 1079044970560 is 650794409701.

It is a junction number, because it is equal to n+sod(n) for n = 1079044970498 and 1079044970507.

It is not an unprimeable number, because it can be changed into a prime (1079044970561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4392097 + ... + 4631263.

Almost surely, 21079044970560 is an apocalyptic number.

1079044970560 is a gapful number since it is divisible by the number (10) 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 1079044970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342788645888).

1079044970560 is an abundant number, since it is smaller than the sum of its proper divisors (1606532321216).

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

1079044970560 is a wasteful number, since it uses less digits than its factorization.

1079044970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239820 (or 239810 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 1079044970560 in words is "one trillion, seventy-nine billion, forty-four million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 613 736 920 1226 1472 1840 2452 3065 3680 4904 6130 7360 9808 12260 14099 19616 24520 28198 39232 49040 56396 70495 98080 112792 140990 196160 225584 239167 281980 451168 478334 563960 902336 956668 1127920 1195835 1913336 2255840 2391670 3826672 4511680 4783340 5500841 7653344 9566680 11001682 15306688 19133360 22003364 27504205 38266720 44006728 55008410 76533440 88013456 110016820 146609371 176026912 220033640 293218742 352053824 440067280 586437484 733046855 880134560 1172874968 1466093710 1760269120 2345749936 2932187420 3372015533 4691499872 5864374840 6744031066 9382999744 11728749680 13488062132 16860077665 23457499360 26976124264 33720155330 46914998720 53952248528 67440310660 107904497056 134880621320 215808994112 269761242640 539522485280 1079044970560