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123094456193328 = 243151367260917737
BaseRepresentation
bin11011111111010000101001…
…010101011101000100110000
3121010211201022022001002120020
4123333100221111131010300
5112113234421241141303
61113444451300243440
734633165242634134
oct3377205125350460
9533751268032506
10123094456193328
113624907a500a84
12119806443a0580
13538b9b0058219
142257b36a093c4
15e36e8155ea53
hex6ff42955d130

123094456193328 has 160 divisors (see below), whose sum is σ = 321113267435520. Its totient is φ = 40630820659200.

The previous prime is 123094456193323. The next prime is 123094456193329. The reversal of 123094456193328 is 823391654490321.

It is a happy number.

It is a super-2 number, since 2×1230944561933282 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123094456193323) 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, 6939972876 + ... + 6939990612.

It is an arithmetic number, because the mean of its divisors is an integer number (2006957921472).

Almost surely, 2123094456193328 is an apocalyptic number.

It is an amenable number.

123094456193328 is an abundant number, since it is smaller than the sum of its proper divisors (198018811242192).

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

123094456193328 is a wasteful number, since it uses less digits than its factorization.

123094456193328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20875 (or 20869 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 123094456193328 in words is "one hundred twenty-three trillion, ninety-four billion, four hundred fifty-six million, one hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 367 453 604 734 906 1101 1208 1468 1812 2202 2416 2609 2936 3624 4404 5218 5872 7248 7827 8808 10436 15654 17616 17737 20872 31308 35474 41744 53211 55417 62616 70948 106422 110834 125232 141896 166251 212844 221668 283792 332502 393959 425688 443336 665004 787918 851376 886672 957503 1181877 1330008 1575836 1915006 2363754 2660016 2678287 2872509 3151672 3830012 4727508 5356574 5745018 6303344 6509479 7660024 8034861 9455016 10713148 11490036 13018958 15320048 16069722 18910032 19528437 21426296 22980072 26037916 32139444 39056874 42852592 45960144 46275833 52075832 64278888 78113748 92551666 104151664 128557776 138827499 144582953 156227496 185103332 277654998 289165906 312454992 370206664 433748859 555309996 578331812 740413328 867497718 982931329 1110619992 1156663624 1734995436 1965862658 2221239984 2313327248 2948793987 3469990872 3931725316 5897587974 6939981744 6987650783 7863450632 11795175948 13975301566 15726901264 16983230711 20962952349 23590351896 27950603132 33966461422 41925904698 47180703792 50949692133 55901206264 67932922844 83851809396 101899384266 111802412528 135865845688 167703618792 203798768532 271731691376 335407237584 407597537064 815195074128 2564467837361 5128935674722 7693403512083 10257871349444 15386807024166 20515742698888 30773614048332 41031485397776 61547228096664 123094456193328