Search a number
-
+
137644253010 = 232511216377543
BaseRepresentation
bin1000000000110000111…
…1001001111101010010
3111011021122221112101200
42000030033021331102
54223343412044020
6143122150012030
712641644563165
oct2001417117522
9434248845350
10137644253010
1153413657600
1222814947016
13cc977cb974
14693a80badc
1538a8edc590
hex200c3c9f52

137644253010 has 144 divisors (see below), whose sum is σ = 395785196352. Its totient is φ = 33163162560.

The previous prime is 137644253009. The next prime is 137644253027. The reversal of 137644253010 is 10352446731.

137644253010 is a `hidden beast` number, since 1 + 3 + 7 + 644 + 2 + 5 + 3 + 0 + 1 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1736299 + ... + 1813841.

It is an arithmetic number, because the mean of its divisors is an integer number (2748508308).

Almost surely, 2137644253010 is an apocalyptic number.

137644253010 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 137644253010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197892598176).

137644253010 is an abundant number, since it is smaller than the sum of its proper divisors (258140943342).

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

137644253010 is a wasteful number, since it uses less digits than its factorization.

137644253010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77741 (or 77727 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 137644253010 its reverse (10352446731), we get a palindrome (147996699741).

The spelling of 137644253010 in words is "one hundred thirty-seven billion, six hundred forty-four million, two hundred fifty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 163 165 198 242 326 330 363 489 495 605 726 815 978 990 1089 1210 1467 1630 1793 1815 2178 2445 2934 3586 3630 4890 5379 5445 7335 8965 10758 10890 14670 16137 17930 19723 26895 32274 39446 53790 59169 77543 80685 98615 118338 155086 161370 177507 197230 232629 295845 355014 387715 465258 591690 697887 775430 852973 887535 1163145 1395774 1705946 1775070 2326290 2558919 3489435 4264865 5117838 6978870 7676757 8529730 9382703 12639509 12794595 15353514 18765406 25279018 25589190 28148109 37918527 38383785 46913515 56296218 63197545 75837054 76767570 84444327 93827030 113755581 126395090 139034599 140740545 168888654 189592635 227511162 278069198 281481090 379185270 417103797 422221635 568777905 695172995 834207594 844443270 1137555810 1251311391 1390345990 1529380589 2085518985 2502622782 3058761178 4171037970 4588141767 6256556955 7646902945 9176283534 12513113910 13764425301 15293805890 22940708835 27528850602 45881417670 68822126505 137644253010