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61754370002340 = 223517924232373067
BaseRepresentation
bin11100000101010010011110…
…10010011000110110100100
322002122122211020001122001120
432002221033102120312210
531043240422210033330
6335201322124053540
716002414600053361
oct1602511722306644
9262578736048046
1061754370002340
1118749976a2a124
126b144b16942b0
13285c548512a82
141136cdad21468
1572158d726c10
hex382a4f498da4

61754370002340 has 96 divisors (see below), whose sum is σ = 173950060999680. Its totient is φ = 16369067546496.

The previous prime is 61754370002333. The next prime is 61754370002357. The reversal of 61754370002340 is 4320007345716.

It is a junction number, because it is equal to n+sod(n) for n = 61754370002292 and 61754370002301.

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, 24836487 + ... + 27209553.

It is an arithmetic number, because the mean of its divisors is an integer number (1811979802080).

Almost surely, 261754370002340 is an apocalyptic number.

61754370002340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61754370002340 is an abundant number, since it is smaller than the sum of its proper divisors (112195690997340).

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

61754370002340 is a wasteful number, since it uses less digits than its factorization.

61754370002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375681 (or 2375679 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 61754370002340 in words is "sixty-one trillion, seven hundred fifty-four billion, three hundred seventy million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2423 2685 3580 4846 5370 7269 9692 10740 12115 14538 24230 29076 36345 48460 72690 145380 433717 867434 1301151 1734868 2168585 2373067 2602302 4337170 4746134 5204604 6505755 7119201 8674340 9492268 11865335 13011510 14238402 23730670 26023020 28476804 35596005 47461340 71192010 142384020 424778993 849557986 1274336979 1699115972 2123894965 2548673958 4247789930 5097347916 5749941341 6371684895 8495579860 11499882682 12743369790 17249824023 22999765364 25486739580 28749706705 34499648046 57499413410 68999296092 86249120115 114998826820 172498240230 344996480460 1029239500039 2058479000078 3087718500117 4116958000156 5146197500195 6175437000234 10292395000390 12350874000468 15438592500585 20584790000780 30877185001170 61754370002340