Search a number
-
+
336668872014 = 2333113710631381
BaseRepresentation
bin1001110011000110000…
…01110100110101001110
31012012000000212201201000
410321203001310311032
521003444212401024
6414355154201130
733215653123626
oct4714301646516
91165000781630
10336668872014
1111a86488a602
12552b98831a6
1325994a20607
141241b14d886
158b569e4cc9
hex4e63074d4e

336668872014 has 128 divisors (see below), whose sum is σ = 779219804160. Its totient is φ = 107630726400.

The previous prime is 336668872013. The next prime is 336668872051. The reversal of 336668872014 is 410278866633.

It is a super-2 number, since 2×3366688720142 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336668872013) 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 63 ways as a sum of consecutive naturals, for example, 243785604 + ... + 243786984.

It is an arithmetic number, because the mean of its divisors is an integer number (6087654720).

Almost surely, 2336668872014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336668872014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389609902080).

336668872014 is an abundant number, since it is smaller than the sum of its proper divisors (442550932146).

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

336668872014 is a wasteful number, since it uses less digits than its factorization.

336668872014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 336668872014 in words is "three hundred thirty-six billion, six hundred sixty-eight million, eight hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 137 186 274 279 411 558 822 837 1063 1233 1381 1674 2126 2466 2762 3189 3699 4143 4247 6378 7398 8286 8494 9567 12429 12741 19134 24858 25482 28701 32953 37287 38223 42811 57402 65906 74574 76446 85622 98859 114669 128433 145631 189197 197718 229338 256866 291262 296577 378394 385299 436893 567591 593154 770598 873786 889731 1135182 1155897 1310679 1468003 1702773 1779462 2311794 2621358 2936006 3405546 3932037 4404009 4514561 5108319 5865107 7864074 8808018 9029122 10216638 11730214 13212027 13543683 17595321 26424054 27087366 35190642 39636081 40631049 45508093 52785963 79272162 81262098 91016186 105571926 121893147 136524279 158357889 201116411 243786294 273048558 316715778 402232822 409572837 603349233 819145674 1206698466 1228718511 1810047699 2457437022 3620095398 5430143097 6234608741 10860286194 12469217482 18703826223 37407652446 56111478669 112222957338 168334436007 336668872014