Search a number
-
+
2009438808192 = 27322375839327
BaseRepresentation
bin11101001111011011111…
…000101110100010000000
321010002201020121222122200
4131033123320232202000
5230410312313330232
64135042355233200
7265114524023214
oct35173370564200
97102636558580
102009438808192
1170521a904112
12285538ba8800
13117648bc318a
146d38628c944
153740b98677c
hex1d3dbe2e880

2009438808192 has 96 divisors (see below), whose sum is σ = 6033776935680. Its totient is φ = 640690626048.

The previous prime is 2009438808101. The next prime is 2009438808203. The reversal of 2009438808192 is 2918088349002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37893168 + ... + 37946159.

It is an arithmetic number, because the mean of its divisors is an integer number (62851843080).

Almost surely, 22009438808192 is an apocalyptic number.

It is an amenable number.

2009438808192 is an abundant number, since it is smaller than the sum of its proper divisors (4024338127488).

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

2009438808192 is a wasteful number, since it uses less digits than its factorization.

2009438808192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75839370 (or 75839355 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 2009438808192 in words is "two trillion, nine billion, four hundred thirty-eight million, eight hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 75839327 151678654 227517981 303357308 455035962 606714616 682553943 910071924 1213429232 1365107886 1744304521 1820143848 2426858464 2730215772 3488609042 3640287696 4853716928 5232913563 5460431544 6977218084 7280575392 9707433856 10465827126 10920863088 13954436168 14561150784 15698740689 20931654252 21841726176 27908872336 29122301568 31397481378 41863308504 43683452352 55817744672 62794962756 83726617008 87366904704 111635489344 125589925512 167453234016 223270978688 251179851024 334906468032 502359702048 669812936064 1004719404096 2009438808192