Search a number
-
+
42765715216 = 2473735991709
BaseRepresentation
bin100111110101000010…
…010000011100010000
311002101102020102112101
4213311002100130100
51200041010341331
631351333410144
73042526403320
oct476502203420
9132342212471
1042765715216
11171561498a4
128356199954
134057067443
1420d9a29280
1511a46ed061
hex9f5090710

42765715216 has 80 divisors (see below), whose sum is σ = 95163552000. Its totient is φ = 18237832704.

The previous prime is 42765715189. The next prime is 42765715243. The reversal of 42765715216 is 61251756724.

It is an interprime number because it is at equal distance from previous prime (42765715189) and next prime (42765715243).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25022970 + ... + 25024678.

It is an arithmetic number, because the mean of its divisors is an integer number (1189544400).

Almost surely, 242765715216 is an apocalyptic number.

It is an amenable number.

42765715216 is an abundant number, since it is smaller than the sum of its proper divisors (52397836784).

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

42765715216 is a wasteful number, since it uses less digits than its factorization.

42765715216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2690 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The spelling of 42765715216 in words is "forty-two billion, seven hundred sixty-five million, seven hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 373 599 746 1198 1492 1709 2396 2611 2984 3418 4193 4792 5222 5968 6836 8386 9584 10444 11963 13672 16772 20888 23926 27344 33544 41776 47852 67088 95704 191408 223427 446854 637457 893708 1023691 1274914 1563989 1787416 2047382 2549828 3127978 3574832 4094764 4462199 5099656 6255956 7165837 8189528 8924398 10199312 12511912 14331674 16379056 17848796 25023824 28663348 35697592 57326696 71395184 114653392 381836743 763673486 1527346972 2672857201 3054693944 5345714402 6109387888 10691428804 21382857608 42765715216