Search a number
-
+
5166025144 = 2371719872731
BaseRepresentation
bin1001100111110101…
…10100100110111000
3111100000210021020121
410303322310212320
541040000301034
62212341503024
7242006326540
oct46372644670
914300707217
105166025144
1122110a5175
121002111a74
1364437b917
1437015c320
152037ee1b4
hex133eb49b8

5166025144 has 64 divisors (see below), whose sum is σ = 11731426560. Its totient is φ = 2081963520.

The previous prime is 5166025099. The next prime is 5166025153. The reversal of 5166025144 is 4415206615.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1890259 + ... + 1892989.

It is an arithmetic number, because the mean of its divisors is an integer number (183303540).

Almost surely, 25166025144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865713280).

5166025144 is an abundant number, since it is smaller than the sum of its proper divisors (6565401416).

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

5166025144 is a wasteful number, since it uses less digits than its factorization.

5166025144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5166025144 is about 71875.0662190999. The cubic root of 5166025144 is about 1728.6968416857.

The spelling of 5166025144 in words is "five billion, one hundred sixty-six million, twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1987 2731 3974 5462 7948 10924 13909 15896 19117 21848 27818 33779 38234 46427 55636 67558 76468 92854 111272 135116 152936 185708 236453 270232 324989 371416 472906 649978 945812 1299956 1891624 2599912 5426497 10852994 21705988 37985479 43411976 75970958 92250449 151941916 184500898 303883832 369001796 645753143 738003592 1291506286 2583012572 5166025144