Search a number
-
+
16040515032 = 2332297682239
BaseRepresentation
bin11101111000001011…
…01101010111011000
31112101220001120222100
432330011231113120
5230322332440112
611211403523400
71105333061643
oct167405552730
945356046870
1016040515032
1168914a83a3
123137b29560
1316882a0319
14ac24baa5a
1563d34a2dc
hex3bc16d5d8

16040515032 has 48 divisors (see below), whose sum is σ = 44941104000. Its totient is φ = 5162463936.

The previous prime is 16040515013. The next prime is 16040515033. The reversal of 16040515032 is 23051504061.

16040515032 is a `hidden beast` number, since 1 + 604 + 0 + 5 + 1 + 50 + 3 + 2 = 666.

It is a super-2 number, since 2×160405150322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16040514987 and 16040515005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040515033) 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 11 ways as a sum of consecutive naturals, for example, 3839032 + ... + 3843207.

It is an arithmetic number, because the mean of its divisors is an integer number (936273000).

Almost surely, 216040515032 is an apocalyptic number.

16040515032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16040515032 is an abundant number, since it is smaller than the sum of its proper divisors (28900588968).

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

16040515032 is a wasteful number, since it uses less digits than its factorization.

16040515032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682280 (or 7682273 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 16040515032 in words is "sixteen billion, forty million, five hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 7682239 15364478 23046717 30728956 46093434 61457912 69140151 92186868 138280302 184373736 222784931 276560604 445569862 553121208 668354793 891139724 1336709586 1782279448 2005064379 2673419172 4010128758 5346838344 8020257516 16040515032