Search a number
-
+
32127077440 = 265100397117
BaseRepresentation
bin11101111010111011…
…000100110001000000
310001220222202122002001
4131322323010301000
51011244012434230
622431534433344
72215065436543
oct357273046100
9101828678061
1032127077440
1112696996877
126287362854
13304cc738c3
1417aab4285a
15c8073e0ca
hex77aec4c40

32127077440 has 28 divisors (see below), whose sum is σ = 76502603916. Its totient is φ = 12850830848.

The previous prime is 32127077431. The next prime is 32127077443. The reversal of 32127077440 is 4477072123.

It can be written as a sum of positive squares in 2 ways, for example, as 19718899776 + 12408177664 = 140424^2 + 111392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32127077440.

It is not an unprimeable number, because it can be changed into a prime (32127077443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50198239 + ... + 50198878.

Almost surely, 232127077440 is an apocalyptic number.

It is an amenable number.

32127077440 is an abundant number, since it is smaller than the sum of its proper divisors (44375526476).

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

32127077440 is a wasteful number, since it uses less digits than its factorization.

32127077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100397134 (or 100397124 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 32127077440 in words is "thirty-two billion, one hundred twenty-seven million, seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 100397117 200794234 401588468 501985585 803176936 1003971170 1606353872 2007942340 3212707744 4015884680 6425415488 8031769360 16063538720 32127077440