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2913264198 = 2331379131401
BaseRepresentation
bin1010110110100100…
…1110001001000110
321112000211011012000
42231221032021012
521431243423243
61201025210130
7132123223425
oct25551161106
97460734160
102913264198
111265509569
12693790946
13375736290
141d8ca92bc
15120b5e5d3
hexada4e246

2913264198 has 128 divisors (see below), whose sum is σ = 7131801600. Its totient is φ = 876096000.

The previous prime is 2913264191. The next prime is 2913264239. The reversal of 2913264198 is 8914623192.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913264191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7264798 + ... + 7265198.

It is an arithmetic number, because the mean of its divisors is an integer number (55717200).

Almost surely, 22913264198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2913264198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565900800).

2913264198 is an abundant number, since it is smaller than the sum of its proper divisors (4218537402).

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

2913264198 is a wasteful number, since it uses less digits than its factorization.

2913264198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2913264198 is about 53974.6625556844. The cubic root of 2913264198 is about 1428.2140153074.

The spelling of 2913264198 in words is "two billion, nine hundred thirteen million, two hundred sixty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 131 158 234 237 262 351 393 401 474 702 711 786 802 1027 1179 1203 1422 1703 2054 2133 2358 2406 3081 3406 3537 3609 4266 5109 5213 6162 7074 7218 9243 10218 10349 10426 10827 15327 15639 18486 20698 21654 27729 30654 31047 31278 31679 45981 46917 52531 55458 62094 63358 91962 93141 93834 95037 105062 134537 140751 157593 186282 190074 269074 279423 281502 285111 315186 403611 411827 472779 558846 570222 682903 807222 823654 855333 945558 1210833 1235481 1365806 1418337 1710666 2048709 2421666 2470962 2836674 3632499 3706443 4097418 4149949 6146127 7264998 7412886 8299898 11119329 12292254 12449847 18438381 22238658 24899694 36876762 37349541 53949337 74699082 107898674 112048623 161848011 224097246 323696022 485544033 971088066 1456632099 2913264198