Search a number
-
+
32048286768 = 2433531399733
BaseRepresentation
bin11101110110001110…
…100000110000110000
310001201111111122121000
4131312032200300300
51011113330134033
622420042002000
72213120641251
oct356616406060
9101644448530
1032048286768
1112656471213
126264aa6300
133039847ac4
1417a04b2b28
15c78878a13
hex7763a0c30

32048286768 has 80 divisors (see below), whose sum is σ = 93726188640. Its totient is φ = 10481193216.

The previous prime is 32048286761. The next prime is 32048286799. The reversal of 32048286768 is 86768284023.

32048286768 is a `hidden beast` number, since 3 + 20 + 482 + 86 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32048286761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676971 + ... + 722762.

It is an arithmetic number, because the mean of its divisors is an integer number (1171577358).

Almost surely, 232048286768 is an apocalyptic number.

It is an amenable number.

32048286768 is an abundant number, since it is smaller than the sum of its proper divisors (61677901872).

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

32048286768 is a wasteful number, since it uses less digits than its factorization.

32048286768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399803 (or 1399791 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 32048286768 in words is "thirty-two billion, forty-eight million, two hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 1399733 2799466 4199199 5598932 8398398 11197864 12597597 16796796 22395728 25195194 33593592 37792791 50390388 67187184 74185849 75585582 100780776 148371698 151171164 201561552 222557547 296743396 302342328 445115094 593486792 604684656 667672641 890230188 1186973584 1335345282 1780460376 2003017923 2670690564 3560920752 4006035846 5341381128 8012071692 10682762256 16024143384 32048286768