Search a number
-
+
67290872943312 = 24333130716367123
BaseRepresentation
bin11110100110011011000001…
…00101000001001011010000
322211020221111122010000002000
433103031200211001023100
532304443201433141222
6355041000020354000
720113414363425504
oct1723154045011320
9284227448100060
1067290872943312
111a493998563997
127669509245900
132b7166b12a555
141288c77864304
157ba5cb5379ac
hex3d33609412d0

67290872943312 has 160 divisors (see below), whose sum is σ = 200029823938560. Its totient is φ = 21636025914240.

The previous prime is 67290872943289. The next prime is 67290872943323. The reversal of 67290872943312 is 21334927809276.

67290872943312 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 0 + 8 + 7 + 294 + 331 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67290872943312.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4072218 + ... + 12294905.

It is an arithmetic number, because the mean of its divisors is an integer number (1250186399616).

Almost surely, 267290872943312 is an apocalyptic number.

67290872943312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

67290872943312 is an abundant number, since it is smaller than the sum of its proper divisors (132738950995248).

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

67290872943312 is a wasteful number, since it uses less digits than its factorization.

67290872943312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367478 (or 16367466 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 67290872943312 in words is "sixty-seven trillion, two hundred ninety billion, eight hundred seventy-two million, nine hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 307 372 432 496 558 614 744 837 921 1116 1228 1488 1674 1842 2232 2456 2763 3348 3684 4464 4912 5526 6696 7368 8289 9517 11052 13392 14736 16578 19034 22104 28551 33156 38068 44208 57102 66312 76136 85653 114204 132624 152272 171306 228408 256959 342612 456816 513918 685224 1027836 1370448 2055672 4111344 16367123 32734246 49101369 65468492 98202738 130936984 147304107 196405476 261873968 294608214 392810952 441912321 507380813 589216428 785621904 883824642 1014761626 1178432856 1522142439 1767649284 2029523252 2356865712 3044284878 3535298568 4059046504 4566427317 5024706761 6088569756 7070597136 8118093008 9132854634 10049413522 12177139512 13699281951 15074120283 18265709268 20098827044 24354279024 27398563902 30148240566 36531418536 40197654088 45222360849 54797127804 60296481132 73062837072 80395308176 90444721698 109594255608 120592962264 135667082547 155765909591 180889443396 219188511216 241185924528 271334165094 311531819182 361778886792 467297728773 542668330188 623063638364 723557773584 934595457546 1085336660376 1246127276728 1401893186319 1869190915092 2170673320752 2492254553456 2803786372638 3738381830184 4205679558957 5607572745276 7476763660368 8411359117914 11215145490552 16822718235828 22430290981104 33645436471656 67290872943312