Search a number
-
+
34648694544 = 24331154315091
BaseRepresentation
bin100000010001001110…
…010001111100010000
310022102201122001110010
4200101032101330100
51031430031211134
623530053434520
72334425021112
oct402116217420
9108381561403
1034648694544
1113770315052
12686b93ba40
133362501529
1419699bd3b2
15d7bcd9ce9
hex811391f10

34648694544 has 80 divisors (see below), whose sum is σ = 92462526464. Its totient is φ = 11169014400.

The previous prime is 34648694539. The next prime is 34648694621. The reversal of 34648694544 is 44549684643.

It is a happy 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, 2288439 + ... + 2303529.

Almost surely, 234648694544 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 34648694544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46231263232).

34648694544 is an abundant number, since it is smaller than the sum of its proper divisors (57813831920).

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

34648694544 is a wasteful number, since it uses less digits than its factorization.

34648694544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676 (or 16670 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 57.

Subtracting 34648694544 from its reverse (44549684643), we obtain a palindrome (9900990099).

The spelling of 34648694544 in words is "thirty-four billion, six hundred forty-eight million, six hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1543 3086 4629 6172 9258 12344 15091 18516 24688 30182 37032 45273 47833 60364 74064 90546 95666 120728 143499 181092 191332 241456 286998 362184 382664 467821 573996 724368 765328 935642 1147992 1403463 1871284 2295984 2806926 3742568 5613852 7485136 11227704 22455408 23285413 46570826 69856239 93141652 139712478 186283304 279424956 372566608 558849912 721847803 1117699824 1443695606 2165543409 2887391212 4331086818 5774782424 8662173636 11549564848 17324347272 34648694544