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2116851840 = 27335122503
BaseRepresentation
bin111111000101100…
…1001100010000000
312110112020012211000
41332023021202000
513313403224330
6550015252000
7103312641465
oct17613114200
95415205730
102116851840
119969a9134
124b0b1a000
1327973b36c
141611d566c
15c5c95560
hex7e2c9880

2116851840 has 128 divisors (see below), whose sum is σ = 7497244800. Its totient is φ = 564489216.

The previous prime is 2116851827. The next prime is 2116851857. The reversal of 2116851840 is 481586112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21168518402 = 8962123425022771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2116851795 and 2116851804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43972 + ... + 78531.

It is an arithmetic number, because the mean of its divisors is an integer number (58572225).

Almost surely, 22116851840 is an apocalyptic number.

2116851840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116851840 is an abundant number, since it is smaller than the sum of its proper divisors (5380392960).

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

2116851840 is a wasteful number, since it uses less digits than its factorization.

2116851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122531 (or 122513 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 2116851840 is about 46009.2581987582. The cubic root of 2116851840 is about 1283.9954581025.

The spelling of 2116851840 in words is "two billion, one hundred sixteen million, eight hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 122503 245006 367509 490012 612515 735018 980024 1102527 1225030 1470036 1837545 1960048 2205054 2450060 2940072 3307581 3675090 3920096 4410108 4900120 5512635 5880144 6615162 7350180 7840192 8820216 9800240 11025270 11760288 13230324 14700360 15680384 16537905 17640432 19600480 22050540 23520576 26460648 29400720 33075810 35280864 39200960 44101080 47041152 52921296 58801440 66151620 70561728 78401920 88202160 105842592 117602880 132303240 141123456 176404320 211685184 235205760 264606480 352808640 423370368 529212960 705617280 1058425920 2116851840