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42978007234872 = 233539755687729
BaseRepresentation
bin10011100010110100110001…
…10110101011100100111000
312122011122202012221001200000
421301122120312223210320
521113122424323003442
6231223453550313000
712024026040634053
oct1161323066534470
9178148665831600
1042978007234872
111276a9637168a6
1249a15137b8760
131ac9a68909778
14a8820a595a9a
154e7e537b0d4c
hex271698dab938

42978007234872 has 96 divisors (see below), whose sum is σ = 121013892308400. Its totient is φ = 14289916506624.

The previous prime is 42978007234849. The next prime is 42978007234879. The reversal of 42978007234872 is 27843270087924.

It is a happy number.

42978007234872 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 80 + 0 + 72 + 3 + 487 + 2 = 666.

42978007234872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42978007234879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27072097 + ... + 28615632.

Almost surely, 242978007234872 is an apocalyptic number.

It is an amenable number.

42978007234872 is an abundant number, since it is smaller than the sum of its proper divisors (78035885073528).

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

42978007234872 is a wasteful number, since it uses less digits than its factorization.

42978007234872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55688147 (or 55688131 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 42978007234872 in words is "forty-two trillion, nine hundred seventy-eight billion, seven million, two hundred thirty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 397 486 648 794 972 1191 1588 1944 2382 3176 3573 4764 7146 9528 10719 14292 21438 28584 32157 42876 64314 85752 96471 128628 192942 257256 385884 771768 55687729 111375458 167063187 222750916 334126374 445501832 501189561 668252748 1002379122 1336505496 1503568683 2004758244 3007137366 4009516488 4510706049 6014274732 9021412098 12028549464 13532118147 18042824196 22108028413 27064236294 36085648392 44216056826 54128472588 66324085239 88432113652 108256945176 132648170478 176864227304 198972255717 265296340956 397944511434 530592681912 596916767151 795889022868 1193833534302 1591778045736 1790750301453 2387667068604 3581500602906 4775334137208 5372250904359 7163001205812 10744501808718 14326002411624 21489003617436 42978007234872