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38433816765432 = 233311139116373013
BaseRepresentation
bin10001011110100100100011…
…11111101110001111111000
312001002020101202212012121000
420233102101333232033320
520014144424042443212
6213424130210045000
711044515544152354
oct1057222177561770
9161066352765530
1038433816765432
1111278765662010
124388893579760
13185a3a76c0cca
1496c2c70d0464
15469b423901dc
hex22f491fee3f8

38433816765432 has 128 divisors (see below), whose sum is σ = 117303998112000. Its totient is φ = 11562822472320.

The previous prime is 38433816765413. The next prime is 38433816765439. The reversal of 38433816765432 is 23456761833483.

38433816765432 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 3 + 8 + 16 + 76 + 543 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38433816765432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38433816765439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57856243 + ... + 58516770.

It is an arithmetic number, because the mean of its divisors is an integer number (916437485250).

Almost surely, 238433816765432 is an apocalyptic number.

It is an amenable number.

38433816765432 is an abundant number, since it is smaller than the sum of its proper divisors (78870181346568).

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

38433816765432 is a wasteful number, since it uses less digits than its factorization.

38433816765432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116373178 (or 116373168 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 38433816765432 in words is "thirty-eight trillion, four hundred thirty-three billion, eight hundred sixteen million, seven hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 139 198 216 264 278 297 396 417 556 594 792 834 1112 1188 1251 1529 1668 2376 2502 3058 3336 3753 4587 5004 6116 7506 9174 10008 12232 13761 15012 18348 27522 30024 36696 41283 55044 82566 110088 165132 330264 116373013 232746026 349119039 465492052 698238078 930984104 1047357117 1280103143 1396476156 2094714234 2560206286 2792952312 3142071351 3840309429 4189428468 5120412572 6284142702 7680618858 8378856936 10240825144 11520928287 12568285404 15361237716 16175848807 23041856574 25136570808 30722475432 32351697614 34562784861 46083713148 48527546421 64703395228 69125569722 92167426296 97055092842 129406790456 138251139444 145582639263 177934336877 194110185684 276502278888 291165278526 355868673754 388220371368 436747917789 533803010631 582330557052 711737347508 873495835578 1067606021262 1164661114104 1423474695016 1601409031893 1746991671156 2135212042524 3202818063786 3493983342312 4270424085048 4804227095679 6405636127572 9608454191358 12811272255144 19216908382716 38433816765432