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32121048128 = 261338607029
BaseRepresentation
bin11101111010100100…
…000100110001000000
310001220120102022102012
4131322210010301000
51011240442020003
622431201312052
72214663255431
oct357244046100
9101816368365
1032121048128
1112693548974
126285335628
13304b942470
1417aa013488
15c7ee4c8d8
hex77a904c40

32121048128 has 28 divisors (see below), whose sum is σ = 68643299340. Its totient is φ = 14825098752.

The previous prime is 32121048109. The next prime is 32121048137. The reversal of 32121048128 is 82184012123.

It can be written as a sum of positive squares in 2 ways, for example, as 14162904064 + 17958144064 = 119008^2 + 134008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32121048094 and 32121048103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19302683 + ... + 19304346.

It is an arithmetic number, because the mean of its divisors is an integer number (2451546405).

Almost surely, 232121048128 is an apocalyptic number.

It is an amenable number.

32121048128 is an abundant number, since it is smaller than the sum of its proper divisors (36522251212).

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

32121048128 is a wasteful number, since it uses less digits than its factorization.

32121048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38607054 (or 38607044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 32121048128 in words is "thirty-two billion, one hundred twenty-one million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 38607029 77214058 154428116 308856232 501891377 617712464 1003782754 1235424928 2007565508 2470849856 4015131016 8030262032 16060524064 32121048128