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272660047044 = 223721192945377
BaseRepresentation
bin1111110111101111001…
…1100010010011000100
3222001210010222111220220
43331323303202103010
513431401433001134
6325131443024340
725461525105600
oct3757363422304
9861703874826
10272660047044
11a56a8540a60
1244a1536b0b0
131c9338a1c58
14d2a80ca500
15715c377149
hex3f7bce24c4

272660047044 has 144 divisors (see below), whose sum is σ = 808243894080. Its totient is φ = 70742999040.

The previous prime is 272660047027. The next prime is 272660047109. The reversal of 272660047044 is 440740066272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 272660046987 and 272660047005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5986084 + ... + 6031460.

It is an arithmetic number, because the mean of its divisors is an integer number (5612804820).

Almost surely, 2272660047044 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 272660047044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404121947040).

272660047044 is an abundant number, since it is smaller than the sum of its proper divisors (535583847036).

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

272660047044 is a wasteful number, since it uses less digits than its factorization.

272660047044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46338 (or 46329 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 272660047044 in words is "two hundred seventy-two billion, six hundred sixty million, forty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 929 1078 1617 1858 2156 2787 3234 3716 5574 6468 6503 10219 11148 13006 19509 20438 26012 30657 39018 40876 45377 45521 61314 71533 78036 90754 91042 122628 136131 136563 143066 181508 182084 214599 272262 273126 286132 317639 429198 499147 500731 544524 546252 635278 858396 952917 998294 1001462 1270556 1497441 1502193 1905834 1996588 2002924 2223473 2994882 3004386 3494029 3811668 4446946 5989764 6008772 6670419 6988058 8893892 10482087 13340838 13976116 20964174 24458203 26681676 41928348 42155233 48916406 73374609 84310466 97832812 126465699 146749218 168620932 252931398 293498436 295086631 463707563 505862796 590173262 885259893 927415126 1180346524 1391122689 1770519786 1854830252 2065606417 2782245378 3245952941 3541039572 4131212834 5564490756 6196819251 6491905882 8262425668 9737858823 12393638502 12983811764 19475717646 22721670587 24787277004 38951435292 45443341174 68165011761 90886682348 136330023522 272660047044