Search a number
-
+
61313306880 = 283572281001
BaseRepresentation
bin111001000110100011…
…101101000100000000
312212021000210201002210
4321012203231010000
52001032201310010
644100020542120
74300254336510
oct710643550400
9185230721083
1061313306880
1124003843a51
12ba71851940
135a21873c57
142d79079840
1518dcbc0b20
hexe468ed100

61313306880 has 144 divisors (see below), whose sum is σ = 223793668224. Its totient is φ = 14014464000.

The previous prime is 61313306783. The next prime is 61313306893. The reversal of 61313306880 is 8860331316.

It is a super-2 number, since 2×613133068802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113621 + ... + 1167380.

It is an arithmetic number, because the mean of its divisors is an integer number (1554122696).

Almost surely, 261313306880 is an apocalyptic number.

61313306880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61313306880 is an abundant number, since it is smaller than the sum of its proper divisors (162480361344).

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

61313306880 is a wasteful number, since it uses less digits than its factorization.

61313306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281032 (or 2281018 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 61313306880 in words is "sixty-one billion, three hundred thirteen million, three hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 2281001 4562002 6843003 9124004 11405005 13686006 15967007 18248008 22810010 27372012 31934014 34215015 36496016 45620020 47901021 54744024 63868028 68430030 72992032 79835035 91240040 95802042 109488048 127736056 136860060 145984064 159670070 182480080 191604084 218976096 239505105 255472112 273720120 291968128 319340140 364960160 383208168 437952192 479010210 510944224 547440240 583936256 638680280 729920320 766416336 875904384 958020420 1021888448 1094880480 1277360560 1459840640 1532832672 1751808768 1916040840 2043776896 2189760960 2554721120 2919681280 3065665344 3832081680 4087553792 4379521920 5109442240 6131330688 7664163360 8759043840 10218884480 12262661376 15328326720 20437768960 30656653440 61313306880