Search a number
-
+
53334087066 = 23313219307589
BaseRepresentation
bin110001101010111101…
…011001010110011010
312002122221111100021000
4301222331121112122
51333212011241231
640300142325430
73565445155131
oct615275312632
9162587440230
1053334087066
112068977a007
12a405589876
13504c728400
14281d460918
1515c242c6e6
hexc6af5959a

53334087066 has 96 divisors (see below), whose sum is σ = 135093528000. Its totient is φ = 15546727872.

The previous prime is 53334087061. The next prime is 53334087071. The reversal of 53334087066 is 66078043335.

53334087066 is a `hidden beast` number, since 533 + 3 + 40 + 8 + 70 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (53334087061) and next prime (53334087071).

It is not an unprimeable number, because it can be changed into a prime (53334087061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19600 + ... + 327188.

It is an arithmetic number, because the mean of its divisors is an integer number (1407224250).

Almost surely, 253334087066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53334087066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67546764000).

53334087066 is an abundant number, since it is smaller than the sum of its proper divisors (81759440934).

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

53334087066 is a wasteful number, since it uses less digits than its factorization.

53334087066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307645 (or 307626 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 53334087066 in words is "fifty-three billion, three hundred thirty-four million, eighty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1482 1521 2223 3042 3211 4446 4563 6422 6669 9126 9633 13338 19266 28899 57798 86697 173394 307589 615178 922767 1845534 2768301 3998657 5536602 5844191 7997314 8304903 11688382 11995971 16609806 17532573 23991942 35065146 35987913 51982541 52597719 71975826 75974483 103965082 105195438 107963739 151948966 155947623 157793157 215927478 227923449 311895246 315586314 455846898 467842869 683770347 935685738 987668279 1367540694 1403528607 1975336558 2051311041 2807057214 2963004837 4102622082 5926009674 8889014511 17778029022 26667043533 53334087066