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13037505228 = 22331143255217
BaseRepresentation
bin11000010010001100…
…01000101011001100
31020122121100212222000
430021012020223030
5203200100131403
65553410552300
7641036652216
oct141106105314
936577325860
1013037505228
115590371710
12263a298690
1312ca0a3b47
148b972d5b6
155148ae7a3
hex309188acc

13037505228 has 96 divisors (see below), whose sum is σ = 37731429120. Its totient is φ = 3858865920.

The previous prime is 13037505203. The next prime is 13037505251. The reversal of 13037505228 is 82250573031.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13037505192 and 13037505201.

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 31 ways as a sum of consecutive naturals, for example, 76525 + ... + 178692.

It is an arithmetic number, because the mean of its divisors is an integer number (393035720).

Almost surely, 213037505228 is an apocalyptic number.

13037505228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13037505228 is an abundant number, since it is smaller than the sum of its proper divisors (24693923892).

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

13037505228 is a wasteful number, since it uses less digits than its factorization.

13037505228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255284 (or 255276 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13037505228 in words is "thirteen billion, thirty-seven million, five hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 51084 255217 510434 765651 1020868 1531302 2296953 2807387 3062604 4593906 5614774 6890859 8422161 9187812 10974331 11229548 13781718 16844322 21948662 25266483 27563436 32922993 33688644 43897324 50532966 65845986 75799449 98768979 101065932 120717641 131691972 151598898 197537958 241435282 296306937 303197796 362152923 395075916 482870564 592613874 724305846 1086458769 1185227748 1448611692 2172917538 3259376307 4345835076 6518752614 13037505228