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137287065930 = 23573123988237
BaseRepresentation
bin111111111011011110…
…0100110000101001010
3111010100202211112211120
41333312330212011022
54222130442102210
6143022510140110
712630046543350
oct1776674460512
9433322745746
10137287065930
115324aa73673
12227351b1636
13cc3b7ca371
1469051cd7d0
153887984270
hex1ff6f2614a

137287065930 has 128 divisors (see below), whose sum is σ = 390336675840. Its totient is φ = 30240241920.

The previous prime is 137287065911. The next prime is 137287065973. The reversal of 137287065930 is 39560782731.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511772 + ... + 1600008.

It is an arithmetic number, because the mean of its divisors is an integer number (3049505280).

Almost surely, 2137287065930 is an apocalyptic number.

137287065930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137287065930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168337920).

137287065930 is an abundant number, since it is smaller than the sum of its proper divisors (253049609910).

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

137287065930 is a wasteful number, since it uses less digits than its factorization.

137287065930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88524.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 137287065930 in words is "one hundred thirty-seven billion, two hundred eighty-seven million, sixty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 239 310 434 465 478 651 717 930 1085 1195 1302 1434 1673 2170 2390 3255 3346 3585 5019 6510 7170 7409 8365 10038 14818 16730 22227 25095 37045 44454 50190 51863 74090 88237 103726 111135 155589 176474 222270 259315 264711 311178 441185 518630 529422 617659 777945 882370 1235318 1323555 1555890 1852977 2647110 2735347 3088295 3705954 5470694 6176590 8206041 9264885 13676735 16412082 18529770 19147429 21088643 27353470 38294858 41030205 42177286 57442287 63265929 82060410 95737145 105443215 114884574 126531858 147620501 191474290 210886430 287211435 295241002 316329645 442861503 574422870 632659290 653747933 738102505 885723006 1307495866 1476205010 1961243799 2214307515 3268739665 3922487598 4428615030 4576235531 6537479330 9152471062 9806218995 13728706593 19612437990 22881177655 27457413186 45762355310 68643532965 137287065930