Search a number
-
+
5187060672 = 263176723719
BaseRepresentation
bin1001101010010110…
…00100001111000000
3111101111100222120020
410311023010033000
541110341420142
62214412413440
7242353200603
oct46513041700
914344328506
105187060672
112221a62502
121009177280
13648835491
14372c7633a
152055a6cec
hex1352c43c0

5187060672 has 112 divisors (see below), whose sum is σ = 14748906240. Its totient is φ = 1602957312.

The previous prime is 5187060661. The next prime is 5187060677. The reversal of 5187060672 is 2760607815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5187060677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206829 + ... + 230547.

Almost surely, 25187060672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374453120).

5187060672 is an abundant number, since it is smaller than the sum of its proper divisors (9561845568).

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

5187060672 is a wasteful number, since it uses less digits than its factorization.

5187060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23818 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 5187060672 is about 72021.2515303643. The cubic root of 5187060672 is about 1731.0400232906.

The spelling of 5187060672 in words is "five billion, one hundred eighty-seven million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 134 136 192 201 204 268 272 402 408 536 544 804 816 1072 1088 1139 1608 1632 2144 2278 3216 3264 3417 4288 4556 6432 6834 9112 12864 13668 18224 23719 27336 36448 47438 54672 71157 72896 94876 109344 142314 189752 218688 284628 379504 403223 569256 759008 806446 1138512 1209669 1518016 1589173 1612892 2277024 2419338 3178346 3225784 4554048 4767519 4838676 6356692 6451568 9535038 9677352 12713384 12903136 19070076 19354704 25426768 25806272 27015941 38140152 38709408 50853536 54031882 76280304 77418816 81047823 101707072 108063764 152560608 162095646 216127528 305121216 324191292 432255056 648382584 864510112 1296765168 1729020224 2593530336 5187060672