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12902058240 = 283529115859
BaseRepresentation
bin11000000010000010…
…11100100100000000
31020022011111110121220
430001001130210000
5202410411330430
65532131515040
7634503454101
oct140101344400
936264443556
1012902058240
11552096a355
122600a58a80
1312a7ccbcb6
148a57523a8
15507a57110
hex30105c900

12902058240 has 144 divisors (see below), whose sum is σ = 42627211200. Its totient is φ = 3321880576.

The previous prime is 12902058223. The next prime is 12902058259. The reversal of 12902058240 is 4285020921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53431 + ... + 169289.

It is an arithmetic number, because the mean of its divisors is an integer number (296022300).

Almost surely, 212902058240 is an apocalyptic number.

12902058240 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 12902058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313605600).

12902058240 is an abundant number, since it is smaller than the sum of its proper divisors (29725152960).

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

12902058240 is a wasteful number, since it uses less digits than its factorization.

12902058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115912 (or 115898 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 12902058240 in words is "twelve billion, nine hundred two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 22272 27840 37120 55680 111360 115859 231718 347577 463436 579295 695154 926872 1158590 1390308 1737885 1853744 2317180 2780616 3359911 3475770 3707488 4634360 5561232 6719822 6951540 7414976 9268720 10079733 11122464 13439644 13903080 14829952 16799555 18537440 20159466 22244928 26879288 27806160 29659904 33599110 37074880 40318932 44489856 50398665 53758576 55612320 67198220 74149760 80637864 88979712 100797330 107517152 111224640 134396440 148299520 161275728 201594660 215034304 222449280 268792880 322551456 403189320 430068608 444898560 537585760 645102912 806378640 860137216 1075171520 1290205824 1612757280 2150343040 2580411648 3225514560 4300686080 6451029120 12902058240