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2990186968560 = 2435111278918477
BaseRepresentation
bin101011100000110101000…
…010000011010111110000
3101120212012021022121222020
4223200311002003113300
5342442400330443220
610205401204111440
7426014422603011
oct53406502032760
911525167277866
102990186968560
11a53149653a40
12403627695580
13188c867b641c
14a4a23923008
1552baceb9040
hex2b8350835f0

2990186968560 has 160 divisors (see below), whose sum is σ = 10191893962752. Its totient is φ = 719185904640.

The previous prime is 2990186968529. The next prime is 2990186968589. The reversal of 2990186968560 is 658696810992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4123959 + ... + 4794518.

Almost surely, 22990186968560 is an apocalyptic number.

2990186968560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2990186968560 is an abundant number, since it is smaller than the sum of its proper divisors (7201706994192).

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

2990186968560 is a wasteful number, since it uses less digits than its factorization.

2990186968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918631 (or 8918625 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 69.

It can be divided in two parts, 299018 and 6968560, that added together give a triangular number (7267578 = T3812).

The spelling of 2990186968560 in words is "two trillion, nine hundred ninety billion, one hundred eighty-six million, nine hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 165 176 220 240 254 264 330 381 440 508 528 635 660 762 880 1016 1270 1320 1397 1524 1905 2032 2540 2640 2794 3048 3810 4191 5080 5588 6096 6985 7620 8382 10160 11176 13970 15240 16764 20955 22352 27940 30480 33528 41910 55880 67056 83820 111760 167640 335280 8918477 17836954 26755431 35673908 44592385 53510862 71347816 89184770 98103247 107021724 133777155 142695632 178369540 196206494 214043448 267554310 294309741 356739080 392412988 428086896 490516235 535108620 588619482 713478160 784825976 981032470 1070217240 1132646579 1177238964 1471548705 1569651952 1962064940 2140434480 2265293158 2354477928 2943097410 3397939737 3924129880 4530586316 4708955856 5663232895 5886194820 6795879474 7848259760 9061172632 11326465790 11772389640 12459112369 13591758948 16989698685 18122345264 22652931580 23544779280 24918224738 27183517896 33979397370 37377337107 45305863160 49836449476 54367035792 62295561845 67958794740 74754674214 90611726320 99672898952 124591123690 135917589480 149509348428 186886685535 199345797904 249182247380 271835178960 299018696856 373773371070 498364494760 598037393712 747546742140 996728989520 1495093484280 2990186968560