Search a number
-
+
42311906656 = 2529149330539
BaseRepresentation
bin100111011001111111…
…000111010101100000
311001012210022120012221
4213121333013111200
51143123322003111
631234323000424
73025346162305
oct473177072540
9131183276187
1042311906656
1116a42a717a8
12824a209114
133cb4036076
1420956590ac
15117995b371
hex9d9fc7560

42311906656 has 48 divisors (see below), whose sum is σ = 86234576400. Its totient is φ = 20412087808.

The previous prime is 42311906641. The next prime is 42311906657. The reversal of 42311906656 is 65660911324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311906657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1370235 + ... + 1400773.

It is an arithmetic number, because the mean of its divisors is an integer number (1796553675).

Almost surely, 242311906656 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 42311906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43117288200).

42311906656 is an abundant number, since it is smaller than the sum of its proper divisors (43922669744).

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

42311906656 is a wasteful number, since it uses less digits than its factorization.

42311906656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32071 (or 32063 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 42311906656 in words is "forty-two billion, three hundred eleven million, nine hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1493 2986 5972 11944 23888 30539 43297 47776 61078 86594 122156 173188 244312 346376 488624 692752 885631 977248 1385504 1771262 3542524 7085048 14170096 28340192 45594727 91189454 182378908 364757816 729515632 1322247083 1459031264 2644494166 5288988332 10577976664 21155953328 42311906656