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78423339214944 = 253537272575837
BaseRepresentation
bin10001110101001101011011…
…010001101010100001100000
3101021200012100100102111200000
4101311031123101222201200
540234341444314334234
6434443103520100000
722342620311430603
oct2165153321524140
9337605310374600
1078423339214944
1122a96173549349
128966b75764600
13349b39b376549
1415519d1c5633a
1590ee8731c899
hex47535b46a860

78423339214944 has 144 divisors (see below), whose sum is σ = 237526946446608. Its totient is φ = 25434596408832.

The previous prime is 78423339214939. The next prime is 78423339214951. The reversal of 78423339214944 is 44941293332487.

78423339214944 is a `hidden beast` number, since 7 + 8 + 4 + 23 + 33 + 92 + 1 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136000207 + ... + 136575630.

It is an arithmetic number, because the mean of its divisors is an integer number (1649492683657).

Almost surely, 278423339214944 is an apocalyptic number.

78423339214944 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

78423339214944 is an abundant number, since it is smaller than the sum of its proper divisors (159103607231664).

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

78423339214944 is a wasteful number, since it uses less digits than its factorization.

78423339214944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272575899 (or 272575879 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 78423339214944 in words is "seventy-eight trillion, four hundred twenty-three billion, three hundred thirty-nine million, two hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 864 888 972 999 1184 1296 1332 1776 1944 1998 2592 2664 2997 3552 3888 3996 5328 5994 7776 7992 8991 10656 11988 15984 17982 23976 31968 35964 47952 71928 95904 143856 287712 272575837 545151674 817727511 1090303348 1635455022 2180606696 2453182533 3270910044 4361213392 4906365066 6541820088 7359547599 8722426784 9812730132 10085305969 13083640176 14719095198 19625460264 20170611938 22078642797 26167280352 29438190396 30255917907 39250920528 40341223876 44157285594 58876380792 60511835814 66235928391 78501841056 80682447752 88314571188 90767753721 117752761584 121023671628 132471856782 161364895504 176629142376 181535507442 235505523168 242047343256 264943713564 272303261163 322729791008 353258284752 363071014884 484094686512 529887427128 544606522326 706516569504 726142029768 816909783489 968189373024 1059774854256 1089213044652 1452284059536 1633819566978 2119549708512 2178426089304 2450729350467 2904568119072 3267639133956 4356852178608 4901458700934 6535278267912 8713704357216 9802917401868 13070556535824 19605834803736 26141113071648 39211669607472 78423339214944