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2114697672 = 233341892683
BaseRepresentation
bin111111000001011…
…1011100111001000
312110101011202212000
41332002323213020
513312330311142
6545501151000
7103255430223
oct17602734710
95411152760
102114697672
1199576772a
124b025b460
132791659c9
14160bd45ba
15c59bc14c
hex7e0bb9c8

2114697672 has 128 divisors (see below), whose sum is σ = 6087312000. Its totient is φ = 679726080.

The previous prime is 2114697619. The next prime is 2114697703. The reversal of 2114697672 is 2767964112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786843 + ... + 789525.

It is an arithmetic number, because the mean of its divisors is an integer number (47557125).

Almost surely, 22114697672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114697672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043656000).

2114697672 is an abundant number, since it is smaller than the sum of its proper divisors (3972614328).

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

2114697672 is a wasteful number, since it uses less digits than its factorization.

2114697672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2818 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2114697672 is about 45985.8420821017. The cubic root of 2114697672 is about 1283.5597669754.

The spelling of 2114697672 in words is "two billion, one hundred fourteen million, six hundred ninety-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 89 108 123 164 178 216 246 267 328 356 369 492 534 712 738 801 984 1068 1107 1476 1602 2136 2214 2403 2683 2952 3204 3649 4428 4806 5366 6408 7298 8049 8856 9612 10732 10947 14596 16098 19224 21464 21894 24147 29192 32196 32841 43788 48294 64392 65682 72441 87576 96588 98523 110003 131364 144882 193176 197046 220006 238787 262728 289764 330009 394092 440012 477574 579528 660018 716361 788184 880024 955148 990027 1320036 1432722 1910296 1980054 2149083 2640072 2865444 2970081 3960108 4298166 5730888 5940162 6447249 7920216 8596332 9790267 11880324 12894498 17192664 19580534 23760648 25788996 29370801 39161068 51577992 58741602 78322136 88112403 117483204 176224806 234966408 264337209 352449612 528674418 704899224 1057348836 2114697672