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123135438001504 = 25172131101639833
BaseRepresentation
bin11011111111110110110100…
…000010101001010101100000
3121010222122002101112122200111
4123333312310002221111200
5112114422334112022004
61113515350030501104
734636145641360345
oct3377666402512540
9533878071478614
10123135438001504
113626449a688035
1211988581064794
135392811648566
142259b0374a7cc
15e3807e332a04
hex6ffdb40a9560

123135438001504 has 72 divisors (see below), whose sum is σ = 259487715880008. Its totient is φ = 57503751352320.

The previous prime is 123135438001489. The next prime is 123135438001523. The reversal of 123135438001504 is 405100834531321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49608429 + ... + 52031404.

It is an arithmetic number, because the mean of its divisors is an integer number (3603996053889).

Almost surely, 2123135438001504 is an apocalyptic number.

It is an amenable number.

123135438001504 is an abundant number, since it is smaller than the sum of its proper divisors (136352277878504).

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

123135438001504 is a wasteful number, since it uses less digits than its factorization.

123135438001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101640008 (or 101639983 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 123135438001504 in words is "one hundred twenty-three trillion, one hundred thirty-five billion, four hundred thirty-eight million, one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 262 272 289 524 544 578 1048 1156 2096 2227 2312 4192 4454 4624 8908 9248 17816 35632 37859 71264 75718 151436 302872 605744 1211488 101639833 203279666 406559332 813118664 1626237328 1727877161 3252474656 3455754322 6911508644 13314818123 13823017288 26629636246 27646034576 29373911737 53259272492 55292069152 58747823474 106518544984 117495646948 213037089968 226351908091 234991293896 426074179936 452703816182 469982587792 905407632364 939965175584 1810815264728 3621630529456 3847982437547 7243261058912 7695964875094 15391929750188 30783859500376 61567719000752 123135438001504