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620600414004 = 2232292297973257
BaseRepresentation
bin10010000011111101010…
…10101100111100110100
32012022212201011111220200
421001332222230330310
540131442201222004
61153033324400500
762560025324034
oct11017652547464
92168781144820
10620600414004
1121a21683353a
12a03399a6130
13466a38472ac
14220741bd8c4
1511223689239
hex907eaacf34

620600414004 has 144 divisors (see below), whose sum is σ = 1632467163600. Its totient is φ = 198550775808.

The previous prime is 620600413963. The next prime is 620600414009. The reversal of 620600414004 is 400414006026.

It can be written as a sum of positive squares in 8 ways, for example, as 124065972900 + 496534441104 = 352230^2 + 704652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620600414009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190541944 + ... + 190545200.

It is an arithmetic number, because the mean of its divisors is an integer number (11336577525).

Almost surely, 2620600414004 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 620600414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816233581800).

620600414004 is an abundant number, since it is smaller than the sum of its proper divisors (1011866749596).

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

620600414004 is a wasteful number, since it uses less digits than its factorization.

620600414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 620600414004 in words is "six hundred twenty billion, six hundred million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 229 261 348 458 522 687 797 916 1044 1374 1594 2061 2391 2748 3188 3257 4122 4782 6514 6641 7173 8244 9564 9771 13028 13282 14346 19542 19923 23113 26564 28692 29313 39084 39846 46226 58626 59769 69339 79692 92452 94453 117252 119538 138678 182513 188906 208017 239076 277356 283359 365026 377812 416034 547539 566718 730052 745853 832068 850077 1095078 1133436 1491706 1642617 1700154 2190156 2237559 2595829 2983412 3285234 3400308 4475118 5191658 5292877 6570468 6712677 7787487 8950236 10383316 10585754 13425354 15574974 15878631 21171508 21629737 23362461 26850708 31149948 31757262 43259474 46724922 47635893 63514524 64889211 75279041 86518948 93449844 95271786 129778422 150558082 190543572 194667633 225837123 259556844 301116164 389335266 451674246 594444841 677511369 778670532 903348492 1188889682 1355022738 1783334523 2377779364 2710045476 3566669046 5350003569 7133338092 10700007138 17238900389 21400014276 34477800778 51716701167 68955601556 103433402334 155150103501 206866804668 310300207002 620600414004