Search a number
-
+
2155931435784 = 233759281774047
BaseRepresentation
bin11111010111110111100…
…001110000001100001000
321122002211120100112002110
4133113313201300030020
5240310321421421114
64330230552502320
7311521663561020
oct37276741601410
97562746315073
102155931435784
117613640aa485
122a9a010aa9a0
131283c3924439
14764c1cc2a80
153b13269e759
hex1f5f7870308

2155931435784 has 128 divisors (see below), whose sum is σ = 6286508236800. Its totient is φ = 603384337920.

The previous prime is 2155931435767. The next prime is 2155931435803. The reversal of 2155931435784 is 4875341395512.

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, 2398249 + ... + 3172295.

It is an arithmetic number, because the mean of its divisors is an integer number (49113345600).

Almost surely, 22155931435784 is an apocalyptic number.

2155931435784 is a gapful number since it is divisible by the number (24) 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 2155931435784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143254118400).

2155931435784 is an abundant number, since it is smaller than the sum of its proper divisors (4130576801016).

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

2155931435784 is a wasteful number, since it uses less digits than its factorization.

2155931435784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774403 (or 774399 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 2155931435784 in words is "two trillion, one hundred fifty-five billion, nine hundred thirty-one million, four hundred thirty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 281 354 413 472 562 708 826 843 1124 1239 1416 1652 1686 1967 2248 2478 3304 3372 3934 4956 5901 6744 7868 9912 11802 15736 16579 23604 33158 47208 49737 66316 99474 116053 132632 198948 232106 348159 397896 464212 696318 774047 928424 1392636 1548094 2322141 2785272 3096188 4644282 5418329 6192376 9288564 10836658 16254987 18577128 21673316 32509974 43346632 45668773 65019948 91337546 130039896 137006319 182675092 217507207 274012638 319681411 365350184 435014414 548025276 639362822 652521621 870028828 959044233 1096050552 1278725644 1305043242 1522550449 1740057656 1918088466 2557451288 2610086484 3045100898 3836176932 4567651347 5220172968 6090201796 7672353864 9135302694 12180403592 12832925213 18270605388 25665850426 36541210776 38498775639 51331700852 76997551278 89830476491 102663401704 153995102556 179660952982 269491429473 307990205112 359321905964 538982858946 718643811928 1077965717892 2155931435784