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16552137160 = 23513217913679
BaseRepresentation
bin11110110101001010…
…11001000111001000
31120201112202200121001
433122211121013020
5232344321342120
611334241424344
71124114562436
oct173245310710
946645680531
1016552137160
1170242826a9
12325b33b0b4
13173a294400
14b30419d56
1566d20be0a
hex3da9591c8

16552137160 has 96 divisors (see below), whose sum is σ = 40555728000. Its totient is φ = 6076971264.

The previous prime is 16552137139. The next prime is 16552137163. The reversal of 16552137160 is 6173125561.

16552137160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16552137163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203201 + ... + 1216879.

It is an arithmetic number, because the mean of its divisors is an integer number (422455500).

Almost surely, 216552137160 is an apocalyptic number.

16552137160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16552137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277864000).

16552137160 is an abundant number, since it is smaller than the sum of its proper divisors (24003590840).

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

16552137160 is a wasteful number, since it uses less digits than its factorization.

16552137160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 16552137160 in words is "sixteen billion, five hundred fifty-two million, one hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 179 260 338 358 520 676 716 845 895 1352 1432 1690 1790 2327 3380 3580 4654 6760 7160 9308 11635 13679 18616 23270 27358 30251 46540 54716 60502 68395 93080 109432 121004 136790 151255 177827 242008 273580 302510 355654 547160 605020 711308 889135 1210040 1422616 1778270 2311751 2448541 3556540 4623502 4897082 7113080 9247004 9794164 11558755 12242705 18494008 19588328 23117510 24485410 31831033 46235020 48970820 63662066 92470040 97941640 127324132 159155165 254648264 318310330 413803429 636620660 827606858 1273241320 1655213716 2069017145 3310427432 4138034290 8276068580 16552137160