Search a number
-
+
47010151216 = 2475967106181
BaseRepresentation
bin101011110010000001…
…011111101100110000
311111100012220010010201
4223302001133230300
51232234044314331
633332434404544
73252645456310
oct536201375460
9144305803121
1047010151216
1118a34006446
12913b730754
134582500b32
1423bd60b440
151352158a61
hexaf205fb30

47010151216 has 80 divisors (see below), whose sum is σ = 107439194880. Its totient is φ = 19509937920.

The previous prime is 47010151109. The next prime is 47010151229. The reversal of 47010151216 is 61215101074.

47010151216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389646 + ... + 495826.

It is an arithmetic number, because the mean of its divisors is an integer number (1342989936).

Almost surely, 247010151216 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 47010151216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53719597440).

47010151216 is an abundant number, since it is smaller than the sum of its proper divisors (60429043664).

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

47010151216 is a wasteful number, since it uses less digits than its factorization.

47010151216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106322 (or 106316 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 47010151216 in words is "forty-seven billion, ten million, one hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 59 67 112 118 134 236 268 413 469 472 536 826 938 944 1072 1652 1876 3304 3752 3953 6608 7504 7906 15812 27671 31624 55342 63248 106181 110684 212362 221368 424724 442736 743267 849448 1486534 1698896 2973068 5946136 6264679 7114127 11892272 12529358 14228254 25058716 28456508 43852753 49798889 50117432 56913016 87705506 99597778 100234864 113826032 175411012 199195556 350822024 398391112 419733493 701644048 796782224 839466986 1678933972 2938134451 3357867944 5876268902 6715735888 11752537804 23505075608 47010151216