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272866378932 = 223275325937879
BaseRepresentation
bin1111111000100000011…
…0101000010010110100
3222002022112020021001200
43332020012220102310
513432312243111212
6325204133252500
725466611644360
oct3761006502264
9862275207050
10272866378932
11a57a3a59184
1244a72494130
131c967565324
14d2c767a2a0
1571705326dc
hex3f881a84b4

272866378932 has 144 divisors (see below), whose sum is σ = 803565584640. Its totient is φ = 76451641344.

The previous prime is 272866378919. The next prime is 272866378969. The reversal of 272866378932 is 239873668272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 272866378932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34628169 + ... + 34636047.

It is an arithmetic number, because the mean of its divisors is an integer number (5580316560).

Almost surely, 2272866378932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272866378932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401782792320).

272866378932 is an abundant number, since it is smaller than the sum of its proper divisors (530699205708).

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

272866378932 is a wasteful number, since it uses less digits than its factorization.

272866378932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10537 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 272866378932 in words is "two hundred seventy-two billion, eight hundred sixty-six million, three hundred seventy-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 2593 3339 4452 5186 6678 7779 7879 10372 13356 15558 15758 18151 23337 23637 31116 31516 36302 46674 47274 54453 55153 70911 72604 93348 94548 108906 110306 137429 141822 163359 165459 217812 220612 274858 283644 326718 330918 412287 417587 496377 549716 653436 661836 824574 835174 962003 992754 1236861 1252761 1649148 1670348 1924006 1985508 2473722 2505522 2886009 2923109 3758283 3848012 4947444 5011044 5772018 5846218 7516566 8658027 8769327 11544036 11692436 15033132 17316054 17538654 20430247 26307981 34632108 35077308 40860494 52615962 61290741 81720988 105231924 122581482 143011729 183872223 245162964 286023458 367744446 429035187 572046916 735488892 858070374 1082803091 1287105561 1716140748 2165606182 2574211122 3248409273 4331212364 5148422244 6496818546 7579621637 9745227819 12993637092 15159243274 19490455638 22738864911 30318486548 38980911276 45477729822 68216594733 90955459644 136433189466 272866378932