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127501680852 = 223371312973309
BaseRepresentation
bin111011010111110110…
…0010100000011010100
3110012002210220111001000
41312233230110003110
54042110412241402
6134323511303300
712132416256030
oct1665754240324
9405083814030
10127501680852
114a089413a67
122086407ab30
13c03c413490
1462577751c0
1534b386ac1c
hex1dafb140d4

127501680852 has 96 divisors (see below), whose sum is σ = 406843001600. Its totient is φ = 33626814336.

The previous prime is 127501680827. The next prime is 127501680881. The reversal of 127501680852 is 258086105721.

127501680852 is a `hidden beast` number, since 1 + 2 + 7 + 501 + 68 + 0 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 127501680798 and 127501680807.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6476827 + ... + 6496482.

Almost surely, 2127501680852 is an apocalyptic number.

127501680852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127501680852 is an abundant number, since it is smaller than the sum of its proper divisors (279341320748).

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

127501680852 is a wasteful number, since it uses less digits than its factorization.

127501680852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12973342 (or 12973334 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 127501680852 in words is "one hundred twenty-seven billion, five hundred one million, six hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 12973309 25946618 38919927 51893236 77839854 90813163 116759781 155679708 168653017 181626326 233519562 272439489 337306034 350279343 363252652 467039124 505959051 544878978 674612068 700558686 817318467 1011918102 1089757956 1180571119 1401117372 1517877153 1634636934 2023836204 2361142238 2451955401 3035754306 3269273868 3541713357 4553631459 4722284476 4903910802 6071508612 7083426714 9107262918 9807821604 10625140071 14166853428 18214525836 21250280142 31875420213 42500560284 63750840426 127501680852