Search a number
-
+
42611368032 = 2537608873
BaseRepresentation
bin100111101011110101…
…011110000001100000
311001222122210210000000
4213223311132001200
51144232002234112
631324141300000
73035643436452
oct475365360140
9131878723000
1042611368032
1117087008542
128312564600
1340310a594c
1420c332c2d2
151195db07dc
hex9ebd5e060

42611368032 has 96 divisors (see below), whose sum is σ = 125817723360. Its totient is φ = 14203766016.

The previous prime is 42611367949. The next prime is 42611368057. The reversal of 42611368032 is 23086311624.

42611368032 is a `hidden beast` number, since 4 + 2 + 611 + 3 + 6 + 8 + 0 + 32 = 666.

42611368032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 234453 + ... + 374420.

It is an arithmetic number, because the mean of its divisors is an integer number (1310601285).

Almost surely, 242611368032 is an apocalyptic number.

It is an amenable number.

42611368032 is an abundant number, since it is smaller than the sum of its proper divisors (83206355328).

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

42611368032 is an frugal number, since it uses more digits than its factorization.

42611368032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608904 (or 608878 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 42611368032 its reverse (23086311624), we get a palindrome (65697679656).

The spelling of 42611368032 in words is "forty-two billion, six hundred eleven million, three hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 608873 1217746 1826619 2435492 3653238 4870984 5479857 7306476 9741968 10959714 14612952 16439571 19483936 21919428 29225904 32879142 43838856 49318713 58451808 65758284 87677712 98637426 131516568 147956139 175355424 197274852 263033136 295912278 394549704 443868417 526066272 591824556 789099408 887736834 1183649112 1331605251 1578198816 1775473668 2367298224 2663210502 3550947336 4734596448 5326421004 7101894672 10652842008 14203789344 21305684016 42611368032