Search a number
-
+
5343744662784 = 28331170282837
BaseRepresentation
bin100110111000011000000…
…0000001001110100000000
3200220212010202100021022000
41031300300000021310000
51200022442113202114
615210514333344000
71061033655120513
oct115606000116400
920825122307260
105343744662784
1117802a6607430
127237a1338000
132c9bb3a06008
141468d2540d7a
159400a501e09
hex4dc30009d00

5343744662784 has 144 divisors (see below), whose sum is σ = 17238974504640. Its totient is φ = 1619316541440.

The previous prime is 5343744662761. The next prime is 5343744662863. The reversal of 5343744662784 is 4872664473435.

5343744662784 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 74 + 466 + 27 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35065387 + ... + 35217450.

Almost surely, 25343744662784 is an apocalyptic number.

5343744662784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5343744662784 is an abundant number, since it is smaller than the sum of its proper divisors (11895229841856).

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

5343744662784 is a wasteful number, since it uses less digits than its factorization.

5343744662784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70282873 (or 70282853 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 63.

The spelling of 5343744662784 in words is "five trillion, three hundred forty-three billion, seven hundred forty-four million, six hundred sixty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 70282837 140565674 210848511 281131348 421697022 562262696 632545533 773111207 843394044 1124525392 1265091066 1546222414 1686788088 1897636599 2249050784 2319333621 2530182132 3092444828 3373576176 3795273198 4498101568 4638667242 5060364264 6184889656 6747152352 6958000863 7590546396 8996203136 9277334484 10120728528 12369779312 13494304704 13916001726 15181092792 17992406272 18554668968 20241457056 20874002589 24739558624 26988609408 27832003452 30362185584 37109337936 40482914112 41748005178 49479117248 53977218816 55664006904 60724371168 74218675872 80965828224 83496010356 98958234496 111328013808 121448742336 148437351744 161931656448 166992020712 197916468992 222656027616 242897484672 296874703488 333984041424 445312055232 485794969344 593749406976 667968082848 890624110464 1335936165696 1781248220928 2671872331392 5343744662784