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127207283217248 = 25131625531881151
BaseRepresentation
bin11100111011000111000000…
…111011011101001101100000
3121200101220020021200110122002
4130323013000323131031200
5113133131004000422443
61130314115201103132
735536265030551043
oct3473070073351540
9550356207613562
10127207283217248
11375943400a8663
1212325759927aa8
1355c9797c50270
14235ac18788c5a
15ea8e478d92b8
hex73b1c0edd360

127207283217248 has 48 divisors (see below), whose sum is σ = 269705705907456. Its totient is φ = 58710661401600.

The previous prime is 127207283217173. The next prime is 127207283217263. The reversal of 127207283217248 is 842712382702721.

It is a junction number, because it is equal to n+sod(n) for n = 127207283217193 and 127207283217202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66681473 + ... + 68562623.

It is an arithmetic number, because the mean of its divisors is an integer number (5618868873072).

Almost surely, 2127207283217248 is an apocalyptic number.

It is an amenable number.

127207283217248 is an abundant number, since it is smaller than the sum of its proper divisors (142498422690208).

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

127207283217248 is a wasteful number, since it uses less digits than its factorization.

127207283217248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043727 (or 2043719 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 56.

The spelling of 127207283217248 in words is "one hundred twenty-seven trillion, two hundred seven billion, two hundred eighty-three million, two hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 162553 325106 650212 1300424 1881151 2113189 2600848 3762302 4226378 5201696 7524604 8452756 15049208 16905512 24454963 30098416 33811024 48909926 60196832 67622048 97819852 195639704 391279408 782558816 305786738503 611573477006 1223146954012 2446293908024 3975227600539 4892587816048 7950455201078 9785175632096 15900910402156 31801820804312 63603641608624 127207283217248