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127478989764 = 22327285012
BaseRepresentation
bin111011010111001010…
…1110000001111000100
3110012001020012122201100
41312232111300033010
54042034110133024
6134321341100100
712132022351200
oct1665625601704
9405036178640
10127478989764
114a0776258a5
1220858557630
13c0377ca1b9
146254749b00
1534b18877c9
hex1dae5703c4

127478989764 has 81 divisors (see below), whose sum is σ = 374893034061. Its totient is φ = 36418284000.

The previous prime is 127478989753. The next prime is 127478989783. The reversal of 127478989764 is 467989874721.

The square root of 127478989764 is 357042.

It is a perfect power (a square), and thus also a powerful number.

127478989764 is a `hidden beast` number, since 1 + 2 + 7 + 478 + 9 + 8 + 97 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10597055364 + 116881934400 = 102942^2 + 341880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127478989692 and 127478989701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14991514 + ... + 15000014.

Almost surely, 2127478989764 is an apocalyptic number.

127478989764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127478989764 is the 357042-nd square number.

It is an amenable number.

127478989764 is an abundant number, since it is smaller than the sum of its proper divisors (247414044297).

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

127478989764 is an frugal number, since it uses more digits than its factorization.

127478989764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17026 (or 8513 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 127478989764 in words is "one hundred twenty-seven billion, four hundred seventy-eight million, nine hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 8501 17002 25503 34004 51006 59507 76509 102012 119014 153018 178521 238028 306036 357042 416549 535563 714084 833098 1071126 1249647 1666196 2142252 2499294 3748941 4998588 7497882 14995764 72267001 144534002 216801003 289068004 433602006 505869007 650403009 867204012 1011738014 1300806018 1517607021 2023476028 2601612036 3035214042 3541083049 4552821063 6070428084 7082166098 9105642126 10623249147 14164332196 18211284252 21246498294 31869747441 42492996588 63739494882 127478989764