Search a number
-
+
61092724736 = 2163130071
BaseRepresentation
bin111000111001011010…
…010000000000000000
312211200122201222021202
4320321122100000000
52000104214142421
644022101040332
74261635410051
oct707132200000
9184618658252
1061092724736
1123a0028335a
12ba0b9b60a8
1359b7c61584
142d57a5a728
1518c864d10b
hexe39690000

61092724736 has 68 divisors (see below), whose sum is σ = 126130147584. Its totient is φ = 29560012800.

The previous prime is 61092724711. The next prime is 61092724789. The reversal of 61092724736 is 63742729016.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2016581 + ... + 2046651.

Almost surely, 261092724736 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 61092724736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63065073792).

61092724736 is an abundant number, since it is smaller than the sum of its proper divisors (65037422848).

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

61092724736 is an frugal number, since it uses more digits than its factorization.

61092724736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30134 (or 30104 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 61092724736 in words is "sixty-one billion, ninety-two million, seven hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 7936 8192 15872 16384 30071 31744 32768 60142 63488 65536 120284 126976 240568 253952 481136 507904 932201 962272 1015808 1864402 1924544 2031616 3728804 3849088 7457608 7698176 14915216 15396352 29830432 30792704 59660864 61585408 119321728 123170816 238643456 246341632 477286912 492683264 954573824 985366528 1909147648 1970733056 3818295296 7636590592 15273181184 30546362368 61092724736