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127209230652 = 223721134614153
BaseRepresentation
bin111011001111001000…
…0101101000100111100
3110011100102121110210010
41312132100231010330
54041011030340102
6134234503143220
712122235422400
oct1663620550474
9404312543703
10127209230652
1149a49326889
12207a2144b10
13bcc3959c1a
14622a9a9100
153497d4dd6c
hex1d9e42d13c

127209230652 has 144 divisors (see below), whose sum is σ = 349177463712. Its totient is φ = 35937054720.

The previous prime is 127209230651. The next prime is 127209230669. The reversal of 127209230652 is 256032902721.

It is a self number, because there is not a number n which added to its sum of digits gives 127209230652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127209230651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30628608 + ... + 30632760.

It is an arithmetic number, because the mean of its divisors is an integer number (2424843498).

Almost surely, 2127209230652 is an apocalyptic number.

127209230652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127209230652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174588731856).

127209230652 is an abundant number, since it is smaller than the sum of its proper divisors (221968233060).

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

127209230652 is a wasteful number, since it uses less digits than its factorization.

127209230652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4739 counting only the distinct ones).

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

The spelling of 127209230652 in words is "one hundred twenty-seven billion, two hundred nine million, two hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 461 588 678 791 922 1356 1383 1582 1844 2373 2766 3164 3227 4153 4746 5532 5537 6454 8306 9492 9681 11074 12459 12908 16611 16612 19362 22148 22589 24918 29071 33222 38724 45178 49836 52093 58142 66444 67767 87213 90356 104186 116284 135534 156279 174426 203497 208372 271068 312558 348852 364651 406994 469289 610491 625116 729302 813988 938578 1093953 1220982 1407867 1458604 1877156 1914533 2187906 2441964 2552557 2815734 3285023 3829066 4375812 5105114 5631468 5743599 6570046 7657671 7658132 9855069 10210228 11487198 13140092 13401731 15315342 19710138 22974396 22995161 26803462 30630684 39420276 40205193 45990322 53606924 68985483 80410386 91980644 93812117 137970966 160820772 187624234 216342229 275941932 281436351 375248468 432684458 562872702 649026687 865368916 1125745404 1298053374 1514395603 2596106748 3028791206 4543186809 6057582412 9086373618 10600769221 18172747236 21201538442 31802307663 42403076884 63604615326 127209230652