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65947104132 = 223721310780629
BaseRepresentation
bin111101011010110000…
…001111001110000100
320022012222002222221020
4331122300033032010
52040024424313012
650143511151140
74523142064500
oct753260171604
9208188088836
1065947104132
1125a7146a458
12109456754b0
1362ac895710
143298653300
151aae8dca8c
hexf5ac0f384

65947104132 has 144 divisors (see below), whose sum is σ = 194572445760. Its totient is φ = 17229881088.

The previous prime is 65947104101. The next prime is 65947104151. The reversal of 65947104132 is 23140174956.

65947104132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 777594 + ... + 858222.

It is an arithmetic number, because the mean of its divisors is an integer number (1351197540).

Almost surely, 265947104132 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 65947104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97286222880).

65947104132 is an abundant number, since it is smaller than the sum of its proper divisors (128625341628).

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

65947104132 is a wasteful number, since it uses less digits than its factorization.

65947104132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80770 (or 80761 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 65947104132 in words is "sixty-five billion, nine hundred forty-seven million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 107 147 156 182 196 214 273 294 321 364 428 546 588 637 642 749 1092 1274 1284 1391 1498 1911 2247 2548 2782 2996 3822 4173 4494 5243 5564 7644 8346 8988 9737 10486 15729 16692 19474 20972 29211 31458 38948 58422 62916 68159 80629 116844 136318 161258 204477 241887 272636 322516 408954 483774 564403 817908 967548 1048177 1128806 1693209 2096354 2257612 3144531 3386418 3950821 4192708 6289062 6772836 7337239 7901642 8627303 11852463 12578124 14674478 15803284 17254606 22011717 23704926 25881909 29348956 34509212 44023434 47409852 51360673 51763818 60391121 88046868 102721346 103527636 112154939 120782242 154082019 181173363 205442692 224309878 241564484 308164038 336464817 362346726 422737847 448619756 616328076 672929634 724693452 785084573 845475694 1268213541 1345859268 1570169146 1690951388 2355253719 2536427082 3140338292 4710507438 5072854164 5495592011 9421014876 10991184022 16486776033 21982368044 32973552066 65947104132