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2084351048040 = 2335411619261673
BaseRepresentation
bin11110010101001101000…
…000001111100101101000
321101021002000020001210110
4132111031000033211220
5233122222332014130
64233312044414320
7303406106403642
oct36251500174550
97337060201713
102084351048040
11733a71911738
12297b64b473a0
13121726c4cb11
1472c5143d892
1539343465ab0
hex1e54d00f968

2084351048040 has 128 divisors (see below), whose sum is σ = 6409547625600. Its totient is φ = 541933178880.

The previous prime is 2084351048029. The next prime is 2084351048069. The reversal of 2084351048040 is 408401534802.

It is a self number, because there is not a number n which added to its sum of digits gives 2084351048040.

It is an unprimeable number.

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, 7834644 + ... + 8096316.

It is an arithmetic number, because the mean of its divisors is an integer number (50074590825).

Almost surely, 22084351048040 is an apocalyptic number.

2084351048040 is a gapful number since it is divisible by the number (20) 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 2084351048040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204773812800).

2084351048040 is an abundant number, since it is smaller than the sum of its proper divisors (4325196577560).

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

2084351048040 is a wasteful number, since it uses less digits than its factorization.

2084351048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263347 (or 263343 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 2084351048040 in words is "two trillion, eighty-four billion, three hundred fifty-one million, forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1619 1640 2460 3238 4857 4920 6476 8095 9714 12952 16190 19428 24285 32380 38856 48570 64760 66379 97140 132758 194280 199137 261673 265516 331895 398274 523346 531032 663790 785019 796548 995685 1046692 1308365 1327580 1570038 1593096 1991370 2093384 2616730 2655160 3140076 3925095 3982740 5233460 6280152 7850190 7965480 10466920 10728593 15700380 21457186 31400760 32185779 42914372 53642965 64371558 85828744 107285930 128743116 160928895 214571860 257486232 321857790 423648587 429143720 643715580 847297174 1270945761 1287431160 1694594348 2118242935 2541891522 3389188696 4236485870 5083783044 6354728805 8472971740 10167566088 12709457610 16945943480 17369592067 25418915220 34739184134 50837830440 52108776201 69478368268 86847960335 104217552402 138956736536 173695920670 208435104804 260543881005 347391841340 416870209608 521087762010 694783682680 1042175524020 2084351048040