Search a number
-
+
9600241964130 = 234535996734141
BaseRepresentation
bin1000101110110011101100…
…0000110001010001100010
31020222202220100221221020000
42023230323000301101202
52224242243420323010
632230142411000430
72010410642166126
oct213547300612142
936882810857200
109600241964130
113071492346984
1210b0711739116
135483b69a802c
14252923153586
15119ace8e27c0
hex8bb3b031462

9600241964130 has 160 divisors (see below), whose sum is σ = 25913417460480. Its totient is φ = 2550218670720.

The previous prime is 9600241964111. The next prime is 9600241964171. The reversal of 9600241964130 is 314691420069.

9600241964130 is a `hidden beast` number, since 9 + 600 + 2 + 4 + 1 + 9 + 6 + 4 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 281176860 + ... + 281211000.

It is an arithmetic number, because the mean of its divisors is an integer number (161958859128).

Almost surely, 29600241964130 is an apocalyptic number.

9600241964130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600241964130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956708730240).

9600241964130 is an abundant number, since it is smaller than the sum of its proper divisors (16313175496350).

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

9600241964130 is a wasteful number, since it uses less digits than its factorization.

9600241964130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486 (or 35477 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9600241964130 in words is "nine trillion, six hundred billion, two hundred forty-one million, nine hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 359 405 718 810 967 1077 1795 1934 2154 2901 3231 3590 4835 5385 5802 6462 8703 9670 9693 10770 14505 16155 17406 19386 26109 29010 29079 32310 34141 43515 48465 52218 58158 68282 78327 87030 96930 102423 130545 145395 156654 170705 204846 261090 290790 307269 341410 347153 391635 512115 614538 694306 783270 921807 1024230 1041459 1536345 1735765 1843614 2082918 2765421 3072690 3124377 3471530 4609035 5207295 5530842 6248754 9218070 9373131 10414590 12256619 13827105 15621885 18746262 24513238 27654210 28119393 31243770 33014347 36769857 46865655 56238786 61283095 66028694 73539714 93731310 99043041 110309571 122566190 140596965 165071735 183849285 198086082 220619142 281193930 297129123 330143470 330928713 367698570 495215205 551547855 594258246 661857426 891387369 990430410 992786139 1103095710 1485645615 1654643565 1782774738 1985572278 2674162107 2971291230 3309287130 4456936845 4963930695 5348324214 8913873690 9927861390 11852150573 13370810535 23704301146 26741621070 35556451719 59260752865 71112903438 106669355157 118521505730 177782258595 213338710314 320008065471 355564517190 533346775785 640016130942 960024196413 1066693551570 1600040327355 1920048392826 3200080654710 4800120982065 9600241964130