Search a number
-
+
3810428374050 = 2325237435322199
BaseRepresentation
bin110111011100101111001…
…110101100110000100010
3111111021101022020022021200
4313130233032230300202
5444412224130432200
612034253040102030
7542202652530024
oct67345716546042
914437338208250
103810428374050
111239aa2530221
125165a0904916
132184251611bc
14d25d6250014
15691b830e800
hex3772f3acc22

3810428374050 has 144 divisors (see below), whose sum is σ = 10758550545600. Its totient is φ = 965659605120.

The previous prime is 3810428374019. The next prime is 3810428374111. The reversal of 3810428374050 is 504738240183.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3810428373987 and 3810428374005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1945150 + ... + 3377049.

Almost surely, 23810428374050 is an apocalyptic number.

3810428374050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3810428374050 is an abundant number, since it is smaller than the sum of its proper divisors (6948122171550).

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

3810428374050 is a wasteful number, since it uses less digits than its factorization.

3810428374050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322297 (or 5322289 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3810428374050 in words is "three trillion, eight hundred ten billion, four hundred twenty-eight million, three hundred seventy-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 43 45 50 74 75 86 90 111 129 150 185 215 222 225 258 333 370 387 430 450 555 645 666 774 925 1075 1110 1290 1591 1665 1850 1935 2150 2775 3182 3225 3330 3870 4773 5550 6450 7955 8325 9546 9675 14319 15910 16650 19350 23865 28638 39775 47730 71595 79550 119325 143190 238650 357975 715950 5322199 10644398 15966597 26610995 31933194 47899791 53221990 79832985 95799582 133054975 159665970 196921363 228854557 239498955 266109950 393842726 399164925 457709114 478997910 590764089 686563671 798329850 984606815 1144272785 1181528178 1197494775 1373127342 1772292267 1969213630 2059691013 2288545570 2394989550 2953820445 3432818355 3544584534 4119382026 4923034075 5721363925 5907640890 6865636710 8467618609 8861461335 9846068150 10298455065 11442727850 14769102225 16935237218 17164091775 17722922670 20596910130 25402855827 29538204450 34328183550 42338093045 44307306675 50805711654 51492275325 76208567481 84676186090 88614613350 102984550650 127014279135 152417134962 211690465225 254028558270 381042837405 423380930450 635071395675 762085674810 1270142791350 1905214187025 3810428374050