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61404331332216 = 233471133929122611
BaseRepresentation
bin11011111011000110011110…
…10110110101001001111000
322001102012022102112210020210
431331203033112311021320
531022022032310112331
6334332432124351120
715635213400336255
oct1575431726651170
9261365272483223
1061404331332216
11186244812583a4
126a786a23a54a0
132835532925022
141123db22a442c
157174030d5446
hex37d8cf5b5278

61404331332216 has 128 divisors (see below), whose sum is σ = 158205969331200. Its totient is φ = 19850123489280.

The previous prime is 61404331332143. The next prime is 61404331332229. The reversal of 61404331332216 is 61223313340416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500744751 + ... + 500867361.

It is an arithmetic number, because the mean of its divisors is an integer number (1235984135400).

Almost surely, 261404331332216 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 61404331332216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79102984665600).

61404331332216 is an abundant number, since it is smaller than the sum of its proper divisors (96801637998984).

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

61404331332216 is a wasteful number, since it uses less digits than its factorization.

61404331332216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126709 (or 126705 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 61404331332216 in words is "sixty-one trillion, four hundred four billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 113 141 188 226 282 339 376 452 564 678 904 1128 1356 2712 3929 5311 7858 10622 11787 15716 15933 21244 23574 31432 31866 42488 47148 63732 94296 122611 127464 184663 245222 367833 369326 443977 490444 553989 735666 738652 887954 980888 1107978 1331931 1471332 1477304 1775908 2215956 2663862 2942664 3551816 4431912 5327724 5762717 10655448 11525434 13855043 17288151 20866919 23050868 27710086 34576302 41565129 41733838 46101736 55420172 62600757 69152604 83130258 83467676 110840344 125201514 138305208 166260516 166935352 250403028 332521032 481738619 500806056 651187021 963477238 1302374042 1445215857 1926954476 1953561063 2604748084 2890431714 3853908952 3907122126 5209496168 5780863428 7814244252 11561726856 15628488504 22641715093 45283430186 54436463947 67925145279 90566860372 108872927894 135850290558 163309391841 181133720744 217745855788 271700581116 326618783682 435491711576 543401162232 653237567364 1306475134728 2558513805509 5117027611018 7675541416527 10234055222036 15351082833054 20468110444072 30702165666108 61404331332216