Search a number
-
+
42116000878 = 272372535923
BaseRepresentation
bin100111001110010011…
…110010110001101110
311000201010200112000101
4213032103302301232
51142223144012003
631203044021314
73020450046400
oct471623626156
9130633615011
1042116000878
11169524258a6
1281b469183a
133c825834a3
142077620b70
15116766011d
hex9ce4f2c6e

42116000878 has 72 divisors (see below), whose sum is σ = 76966017912. Its totient is φ = 17227619136.

The previous prime is 42116000869. The next prime is 42116000891. The reversal of 42116000878 is 87800061124.

42116000878 is a nontrivial binomial coefficient, being equal to C(290228, 2).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7107625 + ... + 7113547.

It is an arithmetic number, because the mean of its divisors is an integer number (1068972471).

Almost surely, 242116000878 is an apocalyptic number.

42116000878 is the 290227-th triangular number and also the 145114-th hexagonal number.

42116000878 is the 96743-rd centered nonagonal number.

42116000878 is a deficient number, since it is larger than the sum of its proper divisors (34850017034).

42116000878 is a wasteful number, since it uses less digits than its factorization.

42116000878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 42116000878 in words is "forty-two billion, one hundred sixteen million, eight hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 7 14 37 49 53 74 98 106 259 371 518 742 1369 1813 1961 2597 2738 3626 3922 5194 5923 9583 11846 13727 19166 27454 41461 67081 72557 82922 96089 134162 145114 192178 219151 290227 313919 438302 507899 580454 627838 1015798 1534057 2197433 3068114 3555293 4394866 7110586 8108587 10738399 11615003 15382031 16217174 21476798 23230006 30764062 56760109 81305021 113520218 162610042 397320763 429755111 569135147 794641526 859510222 1138270294 3008285777 6016571554 21058000439 42116000878