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5152010166 = 23223373171061
BaseRepresentation
bin1001100110001010…
…10110111110110110
3111022001102020022100
410303011112332312
541022403311131
62211121242530
7241446235542
oct46305267666
914261366270
105152010166
1122041a2546
12bb9493446
136414b2734
1436c350a22
152024817e6
hex133156fb6

5152010166 has 96 divisors (see below), whose sum is σ = 12011882688. Its totient is φ = 1591729920.

The previous prime is 5152010161. The next prime is 5152010197. The reversal of 5152010166 is 6610102515.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152010161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4855276 + ... + 4856336.

It is an arithmetic number, because the mean of its divisors is an integer number (125123778).

Almost surely, 25152010166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152010166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005941344).

5152010166 is an abundant number, since it is smaller than the sum of its proper divisors (6859872522).

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

5152010166 is a wasteful number, since it uses less digits than its factorization.

5152010166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5152010166 is about 71777.5045957994. The cubic root of 5152010166 is about 1727.1321576988.

The spelling of 5152010166 in words is "five billion, one hundred fifty-two million, ten thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 317 333 414 634 666 851 951 1061 1702 1902 2122 2553 2853 3183 5106 5706 6366 7291 7659 9549 11729 14582 15318 19098 21873 23458 24403 35187 39257 43746 48806 65619 70374 73209 78514 105561 117771 131238 146418 211122 219627 235542 269767 336337 353313 439254 539534 672674 706626 809301 902911 1009011 1618602 1805822 2018022 2427903 2708733 3027033 4855806 5417466 6054066 7735751 8126199 12444469 15471502 16252398 23207253 24888938 37333407 46414506 69621759 74666814 112000221 139243518 224000442 286222787 572445574 858668361 1717336722 2576005083 5152010166