Search a number
-
+
38605638273216 = 263743366338183
BaseRepresentation
bin10001100011100100100110…
…10110110000100011000000
312001200122220022100011122120
420301302103112300203000
520030003321344220331
6214035104013204240
711063110463654010
oct1061622326604300
9161618808304576
1038605638273216
11113346173a3a13
1243b6046190680
13187065ab28941
14976746a3bc40
1546e34ba91796
hex231c935b08c0

38605638273216 has 112 divisors (see below), whose sum is σ = 117005696822784. Its totient is φ = 11004708335616.

The previous prime is 38605638273127. The next prime is 38605638273227. The reversal of 38605638273216 is 61237283650683.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38605638273216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32587140 + ... + 33751043.

It is an arithmetic number, because the mean of its divisors is an integer number (1044693721632).

Almost surely, 238605638273216 is an apocalyptic number.

It is an amenable number.

38605638273216 is an abundant number, since it is smaller than the sum of its proper divisors (78400058549568).

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

38605638273216 is a wasteful number, since it uses less digits than its factorization.

38605638273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66338638 (or 66338628 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 38605638273216 in words is "thirty-eight trillion, six hundred five billion, six hundred thirty-eight million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 433 448 672 866 1299 1344 1732 2598 3031 3464 5196 6062 6928 9093 10392 12124 13856 18186 20784 24248 27712 36372 41568 48496 72744 83136 96992 145488 193984 290976 581952 66338183 132676366 199014549 265352732 398029098 464367281 530705464 796058196 928734562 1061410928 1393101843 1592116392 1857469124 2122821856 2786203686 3184232784 3714938248 4245643712 5572407372 6368465568 7429876496 11144814744 12736931136 14859752992 22289629488 28724433239 29719505984 44579258976 57448866478 86173299717 89158517952 114897732956 172346599434 201071032673 229795465912 344693198868 402142065346 459590931824 603213098019 689386397736 804284130692 919181863648 1206426196038 1378772795472 1608568261384 1838363727296 2412852392076 2757545590944 3217136522768 4825704784152 5515091181888 6434273045536 9651409568304 12868546091072 19302819136608 38605638273216