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272622982060 = 2251113247156011
BaseRepresentation
bin1111110111100110011…
…0001001001110101100
3222001200120020102022201
43331321212021032230
513431312440411220
6325124040351244
725460565053452
oct3757146111654
9861616212281
10272622982060
11a5689625540
1244a04a75524
131c928cc5300
14d2a31dc9d2
157158ea4d0a
hex3f799893ac

272622982060 has 144 divisors (see below), whose sum is σ = 690686341632. Its totient is φ = 89562220800.

The previous prime is 272622981989. The next prime is 272622982067. The reversal of 272622982060 is 60289226272.

It is a self number, because there is not a number n which added to its sum of digits gives 272622982060.

It is not an unprimeable number, because it can be changed into a prime (272622982067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669455 + ... + 1825465.

It is an arithmetic number, because the mean of its divisors is an integer number (4796432928).

Almost surely, 2272622982060 is an apocalyptic number.

272622982060 is a gapful number since it is divisible by the number (20) 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 272622982060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345343170816).

272622982060 is an abundant number, since it is smaller than the sum of its proper divisors (418063359572).

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

272622982060 is a wasteful number, since it uses less digits than its factorization.

272622982060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156104 (or 156089 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 272622982060 in words is "two hundred seventy-two billion, six hundred twenty-two million, nine hundred eighty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 130 143 169 188 220 235 260 286 338 470 517 572 611 676 715 845 940 1034 1222 1430 1690 1859 2068 2444 2585 2860 3055 3380 3718 5170 6110 6721 7436 7943 9295 10340 12220 13442 15886 18590 26884 31772 33605 37180 39715 67210 79430 87373 134420 156011 158860 174746 312022 349492 436865 624044 780055 873730 1560110 1716121 1747460 2028143 3120220 3432242 4056286 6864484 7332517 8112572 8580605 10140715 14665034 17161210 20281430 22309573 26365859 29330068 34322420 36662585 40562860 44619146 52731718 73325170 80657687 89238292 95322721 105463436 111547865 131829295 146650340 161315374 190645442 223095730 263658590 290024449 322630748 381290884 403288435 446191460 476613605 527317180 580048898 806576870 953227210 1048549931 1160097796 1239195373 1450122245 1613153740 1906454420 2097099862 2478390746 2900244490 4194199724 4956781492 5242749655 5800488980 6195976865 10485499310 12391953730 13631149103 20970998620 24783907460 27262298206 54524596412 68155745515 136311491030 272622982060