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45212421228 = 223137335911059
BaseRepresentation
bin101010000110110111…
…101100110001101100
311022200221010222012120
4222012313230301230
51220043334434403
632434215032540
73160256145102
oct520667546154
9138627128176
1045212421228
11181a1262287
12891966b750
134356c27090
14228c965c72
1512993ece53
hexa86decc6c

45212421228 has 96 divisors (see below), whose sum is σ = 115498252800. Its totient is φ = 13681488384.

The previous prime is 45212421227. The next prime is 45212421239. The reversal of 45212421228 is 82212421254.

It is not an unprimeable number, because it can be changed into a prime (45212421227) 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 31 ways as a sum of consecutive naturals, for example, 4082763 + ... + 4093821.

It is an arithmetic number, because the mean of its divisors is an integer number (1203106800).

Almost surely, 245212421228 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 45212421228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57749126400).

45212421228 is an abundant number, since it is smaller than the sum of its proper divisors (70285831572).

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

45212421228 is a wasteful number, since it uses less digits than its factorization.

45212421228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511 (or 11509 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The spelling of 45212421228 in words is "forty-five billion, two hundred twelve million, four hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 359 438 718 876 949 1077 1436 1898 2154 2847 3796 4308 4667 5694 9334 11059 11388 14001 18668 22118 26207 28002 33177 44236 52414 56004 66354 78621 104828 132708 143767 157242 287534 314484 340691 431301 575068 681382 807307 862602 1022073 1362764 1614614 1725204 2044146 2421921 3229228 3970181 4088292 4843842 7940362 9687684 10494991 11910543 15880724 20989982 23821086 31484973 41979964 47642172 51612353 62969946 103224706 125939892 154837059 206449412 289823213 309674118 579646426 619348236 869469639 1159292852 1738939278 3477878556 3767701769 7535403538 11303105307 15070807076 22606210614 45212421228