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420044867736 = 2331329103450719
BaseRepresentation
bin1100001110011001010…
…00000000100010011000
31111011012122112011012120
412013030220000202120
523340222441231421
6520544351141240
742230050315434
oct6071450004230
91434178464176
10420044867736
1115215a41719a
12694a8214820
13307c13c5320
141648a4079c4
15add65788c6
hex61cca00898

420044867736 has 128 divisors (see below), whose sum is σ = 1181246976000. Its totient is φ = 123576058368.

The previous prime is 420044867731. The next prime is 420044867783. The reversal of 420044867736 is 637768440024.

It is a super-2 number, since 2×4200448677362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420044867731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706585 + ... + 1157303.

It is an arithmetic number, because the mean of its divisors is an integer number (9228492000).

Almost surely, 2420044867736 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 420044867736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590623488000).

420044867736 is an abundant number, since it is smaller than the sum of its proper divisors (761202108264).

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

420044867736 is a wasteful number, since it uses less digits than its factorization.

420044867736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450873 (or 450869 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 420044867736 in words is "four hundred twenty billion, forty-four million, eight hundred sixty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 103 104 116 156 174 206 232 309 312 348 377 412 618 696 754 824 1131 1236 1339 1508 2262 2472 2678 2987 3016 4017 4524 5356 5974 8034 8961 9048 10712 11948 16068 17922 23896 32136 35844 38831 71688 77662 116493 155324 232986 310648 450719 465972 901438 931944 1352157 1802876 2704314 3605752 5408628 5859347 10817256 11718694 13070851 17578041 23437388 26141702 35156082 39212553 46424057 46874776 52283404 70312164 78425106 92848114 104566808 139272171 140624328 156850212 169921063 185696228 278544342 313700424 339842126 371392456 509763189 557088684 603512741 679684252 1019526378 1114177368 1207025482 1346297653 1359368504 1810538223 2039052756 2414050964 2692595306 3621076446 4038892959 4078105512 4828101928 5385190612 7242152892 8077785918 10770381224 14484305784 16155571836 17501869489 32311143672 35003738978 52505608467 70007477956 105011216934 140014955912 210022433868 420044867736