Search a number
-
+
675115793296 = 247317310932437
BaseRepresentation
bin10011101001100000000…
…10010111101110010000
32101112120222110201110121
421310300002113232100
542030114120341141
61234051030240024
766526666362640
oct11646002275620
92345528421417
10675115793296
112403512a090a
12aaa12ab6014
134b880c16989
14249664a0520
15128646591d1
hex9d30097b90

675115793296 has 160 divisors (see below), whose sum is σ = 1566334097408. Its totient is φ = 275800412160.

The previous prime is 675115793213. The next prime is 675115793309. The reversal of 675115793296 is 692397511576.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277026190 + ... + 277028626.

Almost surely, 2675115793296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675115793296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783167048704).

675115793296 is an abundant number, since it is smaller than the sum of its proper divisors (891218304112).

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

675115793296 is a wasteful number, since it uses less digits than its factorization.

675115793296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its digits is 21432600, while the sum is 61.

The spelling of 675115793296 in words is "six hundred seventy-five billion, one hundred fifteen million, seven hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 73 112 124 146 217 248 292 434 496 511 584 868 1022 1093 1168 1736 2044 2186 2263 2437 3472 4088 4372 4526 4874 7651 8176 8744 9052 9748 15302 15841 17059 17488 18104 19496 30604 31682 33883 34118 36208 38992 61208 63364 67766 68236 75547 79789 122416 126728 135532 136472 151094 159578 177901 237181 253456 271064 272944 302188 319156 355802 474362 528829 542128 558523 604376 638312 711604 948724 1057658 1117046 1208752 1245307 1276624 1423208 1897448 2115316 2234092 2473459 2490614 2663641 2846416 3794896 4230632 4468184 4946918 4981228 5327282 5514931 8461264 8936368 9893836 9962456 10654564 11029862 17314213 18645487 19787672 19924912 21309128 22059724 34628426 37290974 38604517 39575344 42618256 44119448 69256852 74581948 77209034 82572871 88238896 138513704 149163896 154418068 165145742 194445793 277027408 298327792 308836136 330291484 388891586 578010097 617672272 660582968 777783172 1156020194 1321165936 1361120551 1555566344 2312040388 2722241102 3111132688 4624080776 5444482204 6027819583 9248161552 10888964408 12055639166 21777928816 24111278332 42194737081 48222556664 84389474162 96445113328 168778948324 337557896648 675115793296