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127661352312 = 233131932120057
BaseRepresentation
bin111011011100100110…
…1011010010101111000
3110012111221100122002210
41312321031122111320
54042422301233222
6134351413455120
712136365406344
oct1667115322570
9405457318083
10127661352312
114a16056154a
12208a96414a0
13c06651a530
146270a5a624
1534c28aad0c
hex1db935a578

127661352312 has 64 divisors (see below), whose sum is σ = 345484651680. Its totient is φ = 39076872192.

The previous prime is 127661352289. The next prime is 127661352319. The reversal of 127661352312 is 213253166721.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127661352319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999813 + ... + 1120244.

Almost surely, 2127661352312 is an apocalyptic number.

127661352312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127661352312 is an abundant number, since it is smaller than the sum of its proper divisors (217823299368).

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

127661352312 is a wasteful number, since it uses less digits than its factorization.

127661352312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120272 (or 2120268 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 127661352312 in words is "one hundred twenty-seven billion, six hundred sixty-one million, three hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 7527 10036 15054 20072 30108 60216 2120057 4240114 6360171 8480228 12720342 16960456 25440684 27560741 50881368 55121482 82682223 110242964 165364446 220485928 330728892 409171001 661457784 818342002 1227513003 1636684004 2455026006 3273368008 4910052012 5319223013 9820104024 10638446026 15957669039 21276892052 31915338078 42553784104 63830676156 127661352312