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1870291330040 = 235759366117041
BaseRepresentation
bin11011001101110110000…
…011001110001111111000
320121210112211002201000202
4123031312003032033320
5221120324040030130
63551111110021332
7252060364000310
oct33156603161770
96553484081022
101870291330040
11661205774291
12262584947848
131074a1b432a3
1466745d7c440
15339b5a14145
hex1b3760ce3f8

1870291330040 has 128 divisors (see below), whose sum is σ = 4825001934720. Its totient is φ = 639155404800.

The previous prime is 1870291330031. The next prime is 1870291330043. The reversal of 1870291330040 is 400331920781.

It is a junction number, because it is equal to n+sod(n) for n = 1870291329976 and 1870291330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1870291330043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109743920 + ... + 109760960.

It is an arithmetic number, because the mean of its divisors is an integer number (37695327615).

Almost surely, 21870291330040 is an apocalyptic number.

1870291330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1870291330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412500967360).

1870291330040 is an abundant number, since it is smaller than the sum of its proper divisors (2954710604680).

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

1870291330040 is a wasteful number, since it uses less digits than its factorization.

1870291330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313 (or 18309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 1870291330040 in words is "one trillion, eight hundred seventy billion, two hundred ninety-one million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 593 661 1186 1322 2372 2644 2965 3305 4151 4627 4744 5288 5930 6610 8302 9254 11860 13220 16604 17041 18508 20755 23135 23720 26440 33208 34082 37016 41510 46270 68164 83020 85205 92540 119287 136328 166040 170410 185080 238574 340820 391973 477148 596435 681640 783946 954296 1192870 1567892 1959865 2385740 2743811 3135784 3919730 4771480 5487622 7839460 10105313 10975244 11264101 13719055 15678920 20210626 21950488 22528202 27438110 40421252 45056404 50526565 54876220 56320505 70737191 78848707 80842504 90112808 101053130 109752440 112641010 141474382 157697414 202106260 225282020 282948764 315394828 353685955 394243535 404212520 450564040 565897528 630789656 707371910 788487070 1414743820 1576974140 2829487640 3153948280 6679611893 13359223786 26718447572 33398059465 46757283251 53436895144 66796118930 93514566502 133592237860 187029133004 233786416255 267184475720 374058266008 467572832510 935145665020 1870291330040