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2002679118 = 23211174712659
BaseRepresentation
bin111011101011110…
…0111010101001110
312011120101122021200
41313113213111032
513100141212433
6530420210330
7100425330426
oct16727472516
95146348250
102002679118
11938507510
1247a8399a6
1325bba493b
1414dd95486
15bac41613
hex775e754e

2002679118 has 96 divisors (see below), whose sum is σ = 5119096320. Its totient is φ = 558977280.

The previous prime is 2002679117. The next prime is 2002679123. The reversal of 2002679118 is 8119762002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002679117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151873 + ... + 164531.

It is an arithmetic number, because the mean of its divisors is an integer number (53323920).

Almost surely, 22002679118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002679118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559548160).

2002679118 is an abundant number, since it is smaller than the sum of its proper divisors (3116417202).

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

2002679118 is a wasteful number, since it uses less digits than its factorization.

2002679118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12742 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2002679118 is about 44751.3029754442. The cubic root of 2002679118 is about 1260.4833784061.

The spelling of 2002679118 in words is "two billion, two million, six hundred seventy-nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 47 51 66 94 99 102 141 153 187 198 282 306 374 423 517 561 799 846 1034 1122 1551 1598 1683 2397 3102 3366 4653 4794 7191 8789 9306 12659 14382 17578 25318 26367 37977 52734 75954 79101 113931 139249 158202 215203 227862 278498 417747 430406 594973 645609 835494 1189946 1253241 1291218 1784919 1936827 2367233 2506482 3569838 3873654 4734466 5354757 6544703 7101699 10114541 10709514 13089406 14203398 19634109 20229082 21305097 30343623 39268218 42610194 58902327 60687246 91030869 111259951 117804654 182061738 222519902 333779853 667559706 1001339559 2002679118