Search a number
-
+
32381542602816 = 2631115332169793
BaseRepresentation
bin1110101110011011010100…
…10110000001100001000000
311020122122102101021001102220
413113031222112001201000
513221014344401242231
6152511513022211040
76551326545454551
oct727155226014100
9136578371231386
1032381542602816
11a354a31683580
12376b915123a80
13150b7493c4754
147dd3bc94a328
153b24b9096896
hex1d736a581840

32381542602816 has 56 divisors (see below), whose sum is σ = 93464907064224. Its totient is φ = 9812588666880.

The previous prime is 32381542602791. The next prime is 32381542602817. The reversal of 32381542602816 is 61820624518323.

It is a super-2 number, since 2×323815426028162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32381542602817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7666082785 + ... + 7666087008.

Almost surely, 232381542602816 is an apocalyptic number.

It is an amenable number.

32381542602816 is an abundant number, since it is smaller than the sum of its proper divisors (61083364461408).

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

32381542602816 is a wasteful number, since it uses less digits than its factorization.

32381542602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15332169819 (or 15332169809 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 32381542602816 in words is "thirty-two trillion, three hundred eighty-one billion, five hundred forty-two million, six hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 15332169793 30664339586 45996509379 61328679172 91993018758 122657358344 168653867723 183986037516 245314716688 337307735446 367972075032 490629433376 505961603169 674615470892 735944150064 981258866752 1011923206338 1349230941784 1471888300128 2023846412676 2698461883568 2943776600256 4047692825352 5396923767136 8095385650704 10793847534272 16190771301408 32381542602816