Search a number
-
+
23730287006146 = 2731032831186739
BaseRepresentation
bin1010110010101001000110…
…10100111101000111000010
310010000121000111120111122011
411121110203110331013002
511102244111433144041
6122245313210403134
74666312430302000
oct531244324750702
9103017014514564
1023730287006146
117619a5a4053a6
1227b31091304aa
1310319aac44286
145c07a2a53a70
152b242c59ee81
hex15952353d1c2

23730287006146 has 64 divisors (see below), whose sum is σ = 42061863168000. Its totient is φ = 10035787558608.

The previous prime is 23730287006141. The next prime is 23730287006147. The reversal of 23730287006146 is 64160078203732.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 23730287006146.

It is not an unprimeable number, because it can be changed into a prime (23730287006141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19402845 + ... + 20589583.

It is an arithmetic number, because the mean of its divisors is an integer number (657216612000).

Almost surely, 223730287006146 is an apocalyptic number.

23730287006146 is a deficient number, since it is larger than the sum of its proper divisors (18331576161854).

23730287006146 is a wasteful number, since it uses less digits than its factorization.

23730287006146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187148 (or 1187134 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 23730287006146 in words is "twenty-three trillion, seven hundred thirty billion, two hundred eighty-seven million, six thousand, one hundred forty-six".

Divisors: 1 2 7 14 49 98 103 206 283 343 566 686 721 1442 1981 3962 5047 10094 13867 27734 29149 35329 58298 70658 97069 194138 204043 408086 1186739 1428301 2373478 2856602 8307173 9998107 16614346 19996214 58150211 116300422 122234117 244468234 335847137 407051477 671694274 814102954 855638819 1711277638 2350929959 4701859918 5989471733 11978943466 16456509713 32913019426 34592255111 41926302131 69184510222 83852604262 115195567991 230391135982 242145785777 484291571554 1695020500439 3390041000878 11865143503073 23730287006146