Search a number
-
+
45256037632 = 281316218389
BaseRepresentation
bin101010001001011110…
…000101010100000000
311022210222012220122221
4222021132011110000
51220141021201012
632442413540424
73161325654451
oct521136052400
9138728186587
1045256037632
11182139429a3
1289301a4714
134362c889c0
14229467b128
15129d166507
hexa89785500

45256037632 has 72 divisors (see below), whose sum is σ = 97355781320. Its totient is φ = 20872028160.

The previous prime is 45256037581. The next prime is 45256037641. The reversal of 45256037632 is 23673065254.

It can be written as a sum of positive squares in 4 ways, for example, as 12166972416 + 33089065216 = 110304^2 + 181904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5390494 + ... + 5398882.

Almost surely, 245256037632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45256037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48677890660).

45256037632 is an abundant number, since it is smaller than the sum of its proper divisors (52099743688).

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

45256037632 is a wasteful number, since it uses less digits than its factorization.

45256037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 45256037632 in words is "forty-five billion, two hundred fifty-six million, thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1621 1664 3242 3328 6484 8389 12968 16778 21073 25936 33556 42146 51872 67112 84292 103744 109057 134224 168584 207488 218114 268448 337168 414976 436228 536896 674336 872456 1073792 1348672 1744912 2147584 2697344 3489824 5394688 6979648 13598569 13959296 27197138 27918592 54394276 108788552 176781397 217577104 353562794 435154208 707125588 870308416 1414251176 1740616832 2828502352 3481233664 5657004704 11314009408 22628018816 45256037632