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272485066644 = 2232717331192161
BaseRepresentation
bin1111110111000101100…
…0000010011110010100
3222001022221201120221100
43331301120002132110
513431022134113034
6325102232350100
725454301564630
oct3756130023624
9861287646840
10272485066644
11a561879765a
1244986845330
131c906567a5b
14d28cb7bdc0
15714bd11099
hex3f71602794

272485066644 has 144 divisors (see below), whose sum is σ = 836006161536. Its totient is φ = 73051545600.

The previous prime is 272485066621. The next prime is 272485066787. The reversal of 272485066644 is 446660584272.

It is a happy number.

272485066644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2724850666442 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1321924 + ... + 1514084.

It is an arithmetic number, because the mean of its divisors is an integer number (5805598344).

Almost surely, 2272485066644 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 272485066644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418003080768).

272485066644 is an abundant number, since it is smaller than the sum of its proper divisors (563521094892).

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

272485066644 is a wasteful number, since it uses less digits than its factorization.

272485066644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192526 (or 192521 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 272485066644 in words is "two hundred seventy-two billion, four hundred eighty-five million, sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 331 357 476 612 662 714 993 1071 1324 1428 1986 2142 2317 2979 3972 4284 4634 5627 5958 6951 9268 11254 11916 13902 16881 20853 22508 27804 33762 39389 41706 50643 67524 78778 83412 101286 118167 157556 192161 202572 236334 354501 384322 472668 576483 709002 768644 1152966 1345127 1418004 1729449 2305932 2690254 3266737 3458898 4035381 5380508 6533474 6917796 8070762 9800211 12106143 13066948 16141524 19600422 22867159 24212286 29400633 39200844 45734318 48424572 58801266 63605291 68601477 91468636 117602532 127210582 137202954 190815873 205804431 254421164 274405908 381631746 411608862 445237037 572447619 763263492 823217724 890474074 1081289947 1144895238 1335711111 1780948148 2162579894 2289790476 2671422222 3243869841 4007133333 4325159788 5342844444 6487739682 7569029629 8014266666 9731609523 12975479364 15138059258 16028533332 19463219046 22707088887 30276118516 38926438092 45414177774 68121266661 90828355548 136242533322 272485066644