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70408891991424 = 2737109240309947
BaseRepresentation
bin10000000000100101011000…
…111111110000010110000000
3100020022000122202001002220010
4100000211120333300112000
533212034402322211144
6405425222021544520
720554605660146220
oct2000453077602600
9306260582032803
1070408891991424
1120486274a78268
127a9186b575140
1330396b760951c
141355b46966080
1582176bd835b9
hex400958ff0580

70408891991424 has 128 divisors (see below), whose sum is σ = 215702209324800. Its totient is φ = 19932268161024.

The previous prime is 70408891991423. The next prime is 70408891991513. The reversal of 70408891991424 is 42419919880407.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70408891991423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119861982 + ... + 120447965.

It is an arithmetic number, because the mean of its divisors is an integer number (1685173510350).

Almost surely, 270408891991424 is an apocalyptic number.

It is an amenable number.

70408891991424 is an abundant number, since it is smaller than the sum of its proper divisors (145293317333376).

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

70408891991424 is a wasteful number, since it uses less digits than its factorization.

70408891991424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240310080 (or 240310068 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 70408891991424 in words is "seventy trillion, four hundred eight billion, eight hundred ninety-one million, nine hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 128 168 192 218 224 327 336 384 436 448 654 672 763 872 896 1308 1344 1526 1744 2289 2616 2688 3052 3488 4578 5232 6104 6976 9156 10464 12208 13952 18312 20928 24416 36624 41856 48832 73248 97664 146496 292992 240309947 480619894 720929841 961239788 1441859682 1682169629 1922479576 2883719364 3364339258 3844959152 5046508887 5767438728 6728678516 7689918304 10093017774 11534877456 13457357032 15379836608 20186035548 23069754912 26193784223 26914714064 30759673216 40372071096 46139509824 52387568446 53829428128 78581352669 80744142192 92279019648 104775136892 107658856256 157162705338 161488284384 183356489561 209550273784 215317712512 314325410676 322976568768 366712979122 419100547568 550069468683 628650821352 645953137536 733425958244 838201095136 1100138937366 1257301642704 1466851916488 1676402190272 2200277874732 2514603285408 2933703832976 3352804380544 4400555749464 5029206570816 5867407665952 8801111498928 10058413141632 11734815331904 17602222997856 23469630663808 35204445995712 70408891991424