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123387331872 = 2537315922971
BaseRepresentation
bin111001011101001110…
…1010100010100100000
3102210111002000220021110
41302322131110110200
54010144124104442
6132403334423320
711625440005350
oct1627235242440
9383432026243
10123387331872
1148367a28752
121bab6201b40
13b834bc605c
145d87176b60
15332255969c
hex1cba754520

123387331872 has 96 divisors (see below), whose sum is σ = 382102769664. Its totient is φ = 34116307200.

The previous prime is 123387331829. The next prime is 123387331897. The reversal of 123387331872 is 278133783321.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940654 + ... + 2982317.

It is an arithmetic number, because the mean of its divisors is an integer number (3980237184).

Almost surely, 2123387331872 is an apocalyptic number.

123387331872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123387331872 is an abundant number, since it is smaller than the sum of its proper divisors (258715437792).

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

123387331872 is a wasteful number, since it uses less digits than its factorization.

123387331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923022 (or 5923014 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 123387331872 in words is "one hundred twenty-three billion, three hundred eighty-seven million, three hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 5922971 11845942 17768913 23691884 35537826 41460797 47383768 71075652 82921594 94767536 124382391 142151304 165843188 183612101 189535072 248764782 284302608 331686376 367224202 497529564 550836303 568605216 663372752 734448404 995059128 1101672606 1285284707 1326745504 1468896808 1990118256 2203345212 2570569414 2937793616 3855854121 3980236512 4406690424 5141138828 5875587232 7711708242 8813380848 10282277656 15423416484 17626761696 20564555312 30846832968 41129110624 61693665936 123387331872