Search a number
-
+
1691084908720 = 2451959139135661
BaseRepresentation
bin11000100110111100100…
…000111110100010110000
312222122222121121021002001
4120212330200332202300
5210201320214034340
63332512414303344
7233114442360544
oct30467440764260
95878877537061
101691084908720
115a2204387559
122338b0ab7b54
13c3612743c2c
145bbc5719a24
152dec7d1529a
hex189bc83e8b0

1691084908720 has 160 divisors (see below), whose sum is σ = 4239166176000. Its totient is φ = 625433840640.

The previous prime is 1691084908693. The next prime is 1691084908729. The reversal of 1691084908720 is 278094801961.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1691084908729) 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 31 ways as a sum of consecutive naturals, for example, 12397690 + ... + 12533350.

It is an arithmetic number, because the mean of its divisors is an integer number (26494788600).

Almost surely, 21691084908720 is an apocalyptic number.

1691084908720 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 1691084908720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119583088000).

1691084908720 is an abundant number, since it is smaller than the sum of its proper divisors (2548081267280).

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

1691084908720 is a wasteful number, since it uses less digits than its factorization.

1691084908720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135891 (or 135885 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 1691084908720 in words is "one trillion, six hundred ninety-one billion, eighty-four million, nine hundred eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 139 152 190 236 278 295 304 380 472 556 590 695 760 944 1112 1121 1180 1390 1520 2224 2242 2360 2641 2780 4484 4720 5282 5560 5605 8201 8968 10564 11120 11210 13205 16402 17936 21128 22420 26410 32804 41005 42256 44840 52820 65608 82010 89680 105640 131216 135661 155819 164020 211280 271322 311638 328040 542644 623276 656080 678305 779095 1085288 1246552 1356610 1558190 2170576 2493104 2577559 2713220 3116380 5155118 5426440 6232760 8003999 10310236 10852880 12465520 12887795 16007998 18856879 20620472 25775590 32015996 37713758 40019995 41240944 51551180 64031992 75427516 80039990 94284395 103102360 128063984 150855032 152075981 160079980 188568790 206204720 301710064 304151962 320159960 358280701 377137580 608303924 640319920 716561402 754275160 760379905 1112555861 1216607848 1433122804 1508550320 1520759810 1791403505 2225111722 2433215696 2866245608 3041519620 3582807010 4450223444 5562779305 5732491216 6083039240 7165614020 8900446888 11125558610 12166078480 14331228040 17800893776 21138561359 22251117220 28662456080 42277122718 44502234440 84554245436 89004468880 105692806795 169108490872 211385613590 338216981744 422771227180 845542454360 1691084908720