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2713217761980 = 2234511152256889
BaseRepresentation
bin100111011110111000011…
…000011000001010111100
3100121101021210220010110000
4213132320120120022330
5323423132221340410
65434233544514300
7400011031311555
oct47367030301274
910541253803400
102713217761980
1195673a769710
12379a0b17b990
13168b17238b3b
149546b40732c
154a89c69ddc0
hex277b86182bc

2713217761980 has 120 divisors (see below), whose sum is σ = 9285234179760. Its totient is φ = 657749756160.

The previous prime is 2713217761951. The next prime is 2713217762009. The reversal of 2713217761980 is 891677123172.

2713217761980 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 2 + 17 + 7 + 619 + 8 + 0 = 666.

2713217761980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2713217761951) and next prime (2713217762009).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76110625 + ... + 76146264.

It is an arithmetic number, because the mean of its divisors is an integer number (77376951498).

Almost surely, 22713217761980 is an apocalyptic number.

2713217761980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2713217761980 is an abundant number, since it is smaller than the sum of its proper divisors (6572016417780).

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

2713217761980 is a wasteful number, since it uses less digits than its factorization.

2713217761980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152256921 (or 152256910 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 2713217761980 in words is "two trillion, seven hundred thirteen billion, two hundred seventeen million, seven hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 152256889 304513778 456770667 609027556 761284445 913541334 1370312001 1522568890 1674825779 1827082668 2283853335 2740624002 3045137780 3349651558 4110936003 4567706670 5024477337 5481248004 6699303116 6851560005 8221872006 8374128895 9135413340 10048954674 12332808009 13703120010 15073432011 16443744012 16748257790 20097909348 20554680015 24665616018 25122386685 27406240020 30146864022 33496515580 41109360030 45220296033 49331232036 50244773370 60293728044 61664040045 75367160055 82218720060 90440592066 100489546740 123328080090 135660888099 150734320110 180881184132 226101480165 246656160180 271321776198 301468640220 452202960330 542643552396 678304440495 904405920660 1356608880990 2713217761980