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334066577567060 = 225137336134871569
BaseRepresentation
bin100101111110101001110111…
…1101011111110110101010100
31121210211110020011202212202102
41023331103233223332311110
5322241321322324121220
63142300022253501232
7130236341134153442
oct11375235753766524
91553743204685672
10334066577567060
1197497926a36738
1231574410aa1818
131145345ca08690
145c6cca13abb92
152894c89519775
hex12fd4efafed54

334066577567060 has 96 divisors (see below), whose sum is σ = 766065918377760. Its totient is φ = 121624268193792.

The previous prime is 334066577567057. The next prime is 334066577567069. The reversal of 334066577567060 is 60765775660433.

It can be written as a sum of positive squares in 16 ways, for example, as 156915056177476 + 177151521389584 = 12526574^2 + 13309828^2 .

It is a super-2 number, since 2×3340665775670602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334066577567069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66138956 + ... + 71010524.

It is an arithmetic number, because the mean of its divisors is an integer number (7979853316435).

Almost surely, 2334066577567060 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 334066577567060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383032959188880).

334066577567060 is an abundant number, since it is smaller than the sum of its proper divisors (431999340810700).

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

334066577567060 is a wasteful number, since it uses less digits than its factorization.

334066577567060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875277 (or 4875275 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 65.

The spelling of 334066577567060 in words is "three hundred thirty-four trillion, sixty-six billion, five hundred seventy-seven million, five hundred sixty-seven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3613 3796 4745 7226 9490 14452 18065 18980 36130 46969 72260 93938 187876 234845 263749 469690 527498 939380 1054996 1318745 2637490 3428737 4871569 5274980 6857474 9743138 13714948 17143685 19486276 24357845 34287370 48715690 63330397 68574740 97431380 126660794 253321588 316651985 355624537 633303970 711249074 1266607940 1422498148 1778122685 3556245370 4623118981 7112490740 9246237962 17600978797 18492475924 23115594905 35201957594 46231189810 70403915188 88004893985 92462379620 176009787970 228812724361 352019575940 457625448722 915250897444 1144063621805 1284871452181 2288127243610 2569742904362 4576254487220 5139485808724 6424357260905 12848714521810 16703328878353 25697429043620 33406657756706 66813315513412 83516644391765 167033288783530 334066577567060