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123883690734672 = 243112163130857893
BaseRepresentation
bin11100001010101111101011…
…011000010011010001010000
3121020122011110102001212112220
4130022233223120103101100
5112214202244312002142
61115251214251421040
735044205225562261
oct3412575330232120
9536564412055486
10123883690734672
1136522861862300
1211a895a5454780
1354182498695cb
1422840072b4968
15e4c7746912ec
hex70abeb613450

123883690734672 has 120 divisors (see below), whose sum is σ = 353929775607072. Its totient is φ = 37310202167040.

The previous prime is 123883690734649. The next prime is 123883690734677. The reversal of 123883690734672 is 276437096388321.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 123883690734597 and 123883690734606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123883690734677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64482243 + ... + 66375650.

Almost surely, 2123883690734672 is an apocalyptic number.

123883690734672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123883690734672 is an abundant number, since it is smaller than the sum of its proper divisors (230046084872400).

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

123883690734672 is a wasteful number, since it uses less digits than its factorization.

123883690734672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130858089 (or 130858072 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 123883690734672 in words is "one hundred twenty-three trillion, eight hundred eighty-three billion, six hundred ninety million, seven hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 163 176 242 264 326 363 484 489 528 652 726 968 978 1304 1452 1793 1936 1956 2608 2904 3586 3912 5379 5808 7172 7824 10758 14344 19723 21516 28688 39446 43032 59169 78892 86064 118338 157784 236676 315568 473352 946704 130857893 261715786 392573679 523431572 785147358 1046863144 1439436823 1570294716 2093726288 2878873646 3140589432 4318310469 5757747292 6281178864 8636620938 11515494584 15833805053 17273241876 21329836559 23030989168 31667610106 34546483752 42659673118 47501415159 63335220212 63989509677 69092967504 85319346236 95002830318 126670440424 127979019354 170638692472 190005660636 234628202149 253340880848 255958038708 341277384944 380011321272 469256404298 511916077416 703884606447 760022642544 938512808596 1023832154832 1407769212894 1877025617192 2580910223639 2815538425788 3754051234384 5161820447278 5631076851576 7742730670917 10323640894556 11262153703152 15485461341834 20647281789112 30970922683668 41294563578224 61941845367336 123883690734672