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200172760540 = 2251311734211049
BaseRepresentation
bin1011101001101100111…
…0011110110111011100
3201010200101100211101221
42322123032132313130
511234423211314130
6231542540543124
720314316251024
oct2723316366734
9633611324357
10200172760540
1177990339805
1232965551aa4
1315b51059b4c
14998d012a84
1553186ec87a
hex2e9b39eddc

200172760540 has 96 divisors (see below), whose sum is σ = 427439073600. Its totient is φ = 78735820800.

The previous prime is 200172760537. The next prime is 200172760553. The reversal of 200172760540 is 45067271002.

It is a junction number, because it is equal to n+sod(n) for n = 200172760496 and 200172760505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190821936 + ... + 190822984.

It is an arithmetic number, because the mean of its divisors is an integer number (4452490350).

Almost surely, 2200172760540 is an apocalyptic number.

200172760540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200172760540 is an abundant number, since it is smaller than the sum of its proper divisors (227266313060).

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

200172760540 is a wasteful number, since it uses less digits than its factorization.

200172760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 200172760540 in words is "two hundred billion, one hundred seventy-two million, seven hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 131 173 262 346 421 524 655 692 842 865 1049 1310 1684 1730 2098 2105 2620 3460 4196 4210 5245 8420 10490 20980 22663 45326 55151 72833 90652 110302 113315 137419 145666 181477 220604 226630 274838 275755 291332 362954 364165 441629 453260 549676 551510 687095 725908 728330 883258 907385 1103020 1374190 1456660 1766516 1814770 2208145 2748380 3629540 4416290 8832580 9541123 19082246 23773487 38164492 47546974 47705615 57853399 76401817 95093948 95411230 115706798 118867435 152803634 190822460 231413596 237734870 289266995 305607268 382009085 475469740 578533990 764018170 1157067980 1528036340 10008638027 20017276054 40034552108 50043190135 100086380270 200172760540