Search a number
-
+
47555715664 = 24314114811579
BaseRepresentation
bin101100010010100010…
…101010001001010000
311112202020110122212101
4230102202222021100
51234343230400124
633502524010144
73302321625232
oct542242521120
9145666418771
1047555715664
1119193a64056
129272390954
13463b54a432
142431c64252
151384ec2644
hexb128aa250

47555715664 has 80 divisors (see below), whose sum is σ = 97558755840. Its totient is φ = 22420224000.

The previous prime is 47555715589. The next prime is 47555715677. The reversal of 47555715664 is 46651755574.

It is a congruent number.

It is an unprimeable number.

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, 30116827 + ... + 30118405.

It is an arithmetic number, because the mean of its divisors is an integer number (1219484448).

Almost surely, 247555715664 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 47555715664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48779377920).

47555715664 is an abundant number, since it is smaller than the sum of its proper divisors (50003040176).

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

47555715664 is a wasteful number, since it uses less digits than its factorization.

47555715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3134 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 55.

The spelling of 47555715664 in words is "forty-seven billion, five hundred fifty-five million, seven hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 1481 1579 2542 2962 3158 5084 5924 6316 10168 11848 12632 20336 23696 25264 45911 48949 60721 64739 91822 97898 121442 129478 183644 195796 242884 258956 367288 391592 485768 517912 734576 783184 971536 1035824 1882351 2006909 2338499 3764702 4013818 4676998 7529404 8027636 9353996 15058808 16055272 18707992 30117616 32110544 37415984 72493469 95878459 144986938 191756918 289973876 383513836 579947752 767027672 1159895504 1534055344 2972232229 5944464458 11888928916 23777857832 47555715664