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12575346828 = 223111727720231
BaseRepresentation
bin10111011011000110…
…01001000010001100
31012110101201210211020
423231203021002030
5201223242044303
65435501154140
7623425453512
oct135543110214
935411653736
1012575346828
115373501220
12252b55b950
13125540b035
148741c84b2
154d901da53
hex2ed8c908c

12575346828 has 96 divisors (see below), whose sum is σ = 34016951808. Its totient is φ = 3573427200.

The previous prime is 12575346803. The next prime is 12575346829. The reversal of 12575346828 is 82864357521.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12575346829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611473 + ... + 631703.

It is an arithmetic number, because the mean of its divisors is an integer number (354343248).

Almost surely, 212575346828 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 12575346828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008475904).

12575346828 is an abundant number, since it is smaller than the sum of its proper divisors (21441604980).

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

12575346828 is a wasteful number, since it uses less digits than its factorization.

12575346828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20543 (or 20541 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

It can be divided in two parts, 1257 and 5346828, that added together give a triangular number (5348085 = T3270).

The spelling of 12575346828 in words is "twelve billion, five hundred seventy-five million, three hundred forty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 277 374 554 561 748 831 1108 1122 1662 2244 3047 3324 4709 6094 9141 9418 12188 14127 18282 18836 20231 28254 36564 40462 51799 56508 60693 80924 103598 121386 155397 207196 222541 242772 310794 343927 445082 621588 667623 687854 890164 1031781 1335246 1375708 2063562 2670492 3783197 4127124 5603987 7566394 11207974 11349591 15132788 16811961 22415948 22699182 33623922 45398364 61643857 67247844 95267779 123287714 184931571 190535558 246575428 285803337 369863142 381071116 571606674 739726284 1047945569 1143213348 2095891138 3143836707 4191782276 6287673414 12575346828