Search a number
-
+
47308567240704 = 21337211171911057
BaseRepresentation
bin10101100000110111000100…
…10110000110000000000000
320012111122200101120221022010
422300123202112012000000
522200100421203200304
6244341131124412520
712651634253425500
oct1260334226060000
9205448611527263
1047308567240704
111408a4a596a430
125380873547140
132052242930793
14b97a655b7a00
1557090ecc1789
hex2b06e2586000

47308567240704 has 1344 divisors, whose sum is σ = 178438519261440. Its totient is φ = 10955438161920.

The previous prime is 47308567240699. The next prime is 47308567240741. The reversal of 47308567240704 is 40704276580374.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4278602344 + ... + 4278613400.

Almost surely, 247308567240704 is an apocalyptic number.

47308567240704 is a gapful number since it is divisible by the number (44) 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 47308567240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89219259630720).

47308567240704 is an abundant number, since it is smaller than the sum of its proper divisors (131129952020736).

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

47308567240704 is a wasteful number, since it uses less digits than its factorization.

47308567240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 47308567240704 in words is "forty-seven trillion, three hundred eight billion, five hundred sixty-seven million, two hundred forty thousand, seven hundred four".