Search a number
-
+
10247072608 = 252315192203
BaseRepresentation
bin10011000101100010…
…11110101101100000
3222110010200020000201
421202301132231200
5131441222310413
64412450154544
7511634452153
oct114261365540
928403606021
1010247072608
114389229353
121b9b882a54
13c73c46596
146d2cb9c9a
153ee9149dd
hex262c5eb60

10247072608 has 48 divisors (see below), whose sum is σ = 21190692096. Its totient is φ = 4868265600.

The previous prime is 10247072593. The next prime is 10247072611. The reversal of 10247072608 is 80627074201.

It is a super-3 number, since 3×102470726083 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65035 + ... + 157237.

It is an arithmetic number, because the mean of its divisors is an integer number (441472752).

Almost surely, 210247072608 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 10247072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595346048).

10247072608 is an abundant number, since it is smaller than the sum of its proper divisors (10943619488).

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

10247072608 is a wasteful number, since it uses less digits than its factorization.

10247072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92387 (or 92379 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 10247072608 in words is "ten billion, two hundred forty-seven million, seventy-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 32 46 92 151 184 302 368 604 736 1208 2416 3473 4832 6946 13892 27784 55568 92203 111136 184406 368812 737624 1475248 2120669 2950496 4241338 8482676 13922653 16965352 27845306 33930704 55690612 67861408 111381224 222762448 320221019 445524896 640442038 1280884076 2561768152 5123536304 10247072608