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12265045740 = 22325475712539
BaseRepresentation
bin10110110110000110…
…11011111011101100
31011122202211212202100
423123003123323230
5200104322430430
65345014255100
7612640111563
oct133303337354
934582755670
1012265045740
115224331442
122463657490
13120604461c
14844cd2bda
154bbb77960
hex2db0dbeec

12265045740 has 144 divisors (see below), whose sum is σ = 38077079040. Its totient is φ = 3194225280.

The previous prime is 12265045679. The next prime is 12265045753. The reversal of 12265045740 is 4754056221.

It is a happy number.

12265045740 is a `hidden beast` number, since 1 + 22 + 65 + 0 + 4 + 574 + 0 = 666.

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 = 12265045695 and 12265045704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4829391 + ... + 4831929.

It is an arithmetic number, because the mean of its divisors is an integer number (264424160).

Almost surely, 212265045740 is an apocalyptic number.

12265045740 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 12265045740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038539520).

12265045740 is an abundant number, since it is smaller than the sum of its proper divisors (25812033300).

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

12265045740 is a wasteful number, since it uses less digits than its factorization.

12265045740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12265045740 in words is "twelve billion, two hundred sixty-five million, forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 571 705 846 940 1142 1410 1692 1713 2115 2284 2539 2820 2855 3426 4230 5078 5139 5710 6852 7617 8460 8565 10156 10278 11420 12695 15234 17130 20556 22851 25390 25695 26837 30468 34260 38085 45702 50780 51390 53674 76170 80511 91404 102780 107348 114255 119333 134185 152340 161022 228510 238666 241533 268370 322044 357999 402555 457020 477332 483066 536740 596665 715998 805110 966132 1073997 1193330 1207665 1431996 1449769 1610220 1789995 2147994 2386660 2415330 2899538 3579990 4295988 4349307 4830660 5369985 5799076 7159980 7248845 8698614 10739970 13047921 14497690 17397228 21479940 21746535 26095842 28995380 43493070 52191684 65239605 68139143 86986140 130479210 136278286 204417429 260958420 272556572 340695715 408834858 613252287 681391430 817669716 1022087145 1226504574 1362782860 2044174290 2453009148 3066261435 4088348580 6132522870 12265045740