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12902538780 = 223251391493461
BaseRepresentation
bin11000000010000110…
…10001111000011100
31020022012101212210200
430001003101320130
5202411022220110
65532150103500
7634510525065
oct140103217034
936265355720
1012902538780
11552116839a
12260104ab90
1312a8139941
148a583956c
15507aee6c0
hex3010d1e1c

12902538780 has 144 divisors (see below), whose sum is σ = 39695292000. Its totient is φ = 3392017920.

The previous prime is 12902538757. The next prime is 12902538833. The reversal of 12902538780 is 8783520921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 3726250 + ... + 3729710.

It is an arithmetic number, because the mean of its divisors is an integer number (275661750).

Almost surely, 212902538780 is an apocalyptic number.

12902538780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12902538780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19847646000).

12902538780 is an abundant number, since it is smaller than the sum of its proper divisors (26792753220).

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

12902538780 is a wasteful number, since it uses less digits than its factorization.

12902538780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12902538780 in words is "twelve billion, nine hundred two million, five hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 149 180 278 298 417 447 556 596 695 745 834 894 1251 1341 1390 1490 1668 1788 2085 2235 2502 2682 2780 2980 3461 4170 4470 5004 5364 6255 6705 6922 8340 8940 10383 12510 13410 13844 17305 20711 20766 25020 26820 31149 34610 41422 41532 51915 62133 62298 69220 82844 103555 103830 124266 124596 155745 186399 207110 207660 248532 310665 311490 372798 414220 481079 515689 621330 622980 745596 931995 962158 1031378 1242660 1443237 1547067 1863990 1924316 2062756 2405395 2578445 2886474 3094134 3727980 4329711 4641201 4810790 5156890 5772948 6188268 7216185 7735335 8659422 9282402 9621580 10313780 14432370 15470670 17318844 18564804 21648555 23206005 28864740 30941340 43297110 46412010 71680771 86594220 92824020 143361542 215042313 286723084 358403855 430084626 645126939 716807710 860169252 1075211565 1290253878 1433615420 2150423130 2580507756 3225634695 4300846260 6451269390 12902538780