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5166780012 = 22321729893271
BaseRepresentation
bin1001100111111011…
…01100111001101100
3111100002012121201200
410303331230321230
541040143430022
62212410005500
7242015622402
oct46375547154
914302177650
105166780012
112211570329
121002416890
136445843a4
143702b7472
152038ecbac
hex133f6ce6c

5166780012 has 144 divisors (see below), whose sum is σ = 14470747200. Its totient is φ = 1546997760.

The previous prime is 5166779987. The next prime is 5166780049. The reversal of 5166780012 is 2100876615.

5166780012 is a `hidden beast` number, since 516 + 67 + 80 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577937 + ... + 1581207.

It is an arithmetic number, because the mean of its divisors is an integer number (100491300).

Almost surely, 25166780012 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 5166780012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235373600).

5166780012 is an abundant number, since it is smaller than the sum of its proper divisors (9303967188).

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

5166780012 is a wasteful number, since it uses less digits than its factorization.

5166780012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5166780012 is about 71880.3172780978. The cubic root of 5166780012 is about 1728.7810375833.

The spelling of 5166780012 in words is "five billion, one hundred sixty-six million, seven hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 89 102 116 153 174 178 204 261 267 306 348 356 493 522 534 612 801 986 1044 1068 1479 1513 1602 1972 2581 2958 3026 3204 3271 4437 4539 5162 5916 6052 6542 7743 8874 9078 9813 10324 13084 13617 15486 17748 18156 19626 23229 27234 29439 30972 39252 43877 46458 54468 55607 58878 87754 92916 94859 111214 117756 131631 166821 175508 189718 222428 263262 284577 291119 333642 379436 394893 500463 526524 569154 582238 667284 789786 853731 873357 1000926 1138308 1164476 1579572 1612603 1707462 1746714 2001852 2620071 3225206 3414924 3493428 4837809 4949023 5240142 6450412 8442451 9675618 9898046 10480284 14513427 14847069 16884902 19351236 19796092 25327353 29026854 29694138 33769804 44541207 50654706 58053708 59388276 75982059 89082414 101309412 143521667 151964118 178164828 287043334 303928236 430565001 574086668 861130002 1291695003 1722260004 2583390006 5166780012