Search a number
-
+
2930267794122 = 232432717316987
BaseRepresentation
bin101010101001000001100…
…100100010101011001010
3101101010112101211012001100
4222221001210202223022
5341002142023402442
610122051344202230
7421463524200234
oct52510144425312
911333471735040
102930267794122
11a2a7a0861369
123b3aa4909376
13183427a18316
14a1b7baad254
15513528ce84c
hex2aa41922aca

2930267794122 has 144 divisors (see below), whose sum is σ = 6682234148928. Its totient is φ = 927663891840.

The previous prime is 2930267794109. The next prime is 2930267794127. The reversal of 2930267794122 is 2214977620392.

It is a happy number.

2930267794122 is a `hidden beast` number, since 293 + 0 + 267 + 7 + 94 + 1 + 2 + 2 = 666.

It is a super-2 number, since 2×29302677941222 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2930267794127) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 172492113 + ... + 172509099.

It is an arithmetic number, because the mean of its divisors is an integer number (46404403812).

Almost surely, 22930267794122 is an apocalyptic number.

2930267794122 is an abundant number, since it is smaller than the sum of its proper divisors (3751966354806).

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

2930267794122 is a wasteful number, since it uses less digits than its factorization.

2930267794122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17225 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2930267794122 in words is "two trillion, nine hundred thirty billion, two hundred sixty-seven million, seven hundred ninety-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 71 73 86 129 142 146 213 219 258 387 426 438 639 657 774 1278 1314 1849 3053 3139 3698 5183 5547 6106 6278 9159 9417 10366 11094 15549 16641 16987 18318 18834 27477 28251 31098 33282 33974 46647 50961 54954 56502 93294 101922 131279 134977 152883 222869 262558 269954 305766 393837 404931 445738 668607 730441 787674 809862 1181511 1206077 1214793 1240051 1337214 1460882 2005821 2191323 2363022 2412154 2429586 2480102 3618231 3720153 4011642 4382646 6573969 7236462 7440306 9583367 10854693 11160459 13147938 19166734 21709386 22320918 28750101 31408963 51861311 53322193 57500202 62817926 86250303 88043621 94226889 103722622 106644386 155583933 159966579 172500606 176087242 188453778 264130863 282680667 311167866 319933158 466751799 479899737 528261726 565361334 792392589 933503598 959799474 1584785178 2230036373 2292854299 3785875703 4460072746 4585708598 6690109119 6878562897 7571751406 11357627109 13380218238 13757125794 20070327357 20635688691 22715254218 34072881327 40140654714 41271377382 68145762654 162792655229 325585310458 488377965687 976755931374 1465133897061 2930267794122