Search a number
-
+
1375555331260 = 2251159589717971
BaseRepresentation
bin10100000001000101011…
…111001010010010111100
311212111112211000221221101
4110001011133022102330
5140014114131100020
62531531004342444
7201244354253155
oct24010537122274
94774484027841
101375555331260
1149040813a920
121a2712844a24
139c939459646
144a811cdc92c
1525bac0d500a
hex140457ca4bc

1375555331260 has 96 divisors (see below), whose sum is σ = 3205405405440. Its totient is φ = 491613196800.

The previous prime is 1375555331233. The next prime is 1375555331261. The reversal of 1375555331260 is 621335555731.

It is a self number, because there is not a number n which added to its sum of digits gives 1375555331260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375555331261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76534075 + ... + 76552045.

It is an arithmetic number, because the mean of its divisors is an integer number (33389639640).

Almost surely, 21375555331260 is an apocalyptic number.

1375555331260 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 1375555331260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602702702720).

1375555331260 is an abundant number, since it is smaller than the sum of its proper divisors (1829850074180).

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

1375555331260 is a wasteful number, since it uses less digits than its factorization.

1375555331260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23947 (or 23945 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 46.

The spelling of 1375555331260 in words is "one trillion, three hundred seventy-five billion, five hundred fifty-five million, three hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 5897 6490 11794 12980 17971 23588 29485 35942 58970 64867 71884 89855 117940 129734 179710 197681 259468 324335 347923 359420 395362 648670 695846 790724 988405 1060289 1297340 1391692 1739615 1976810 2120578 3479230 3827153 3953620 4241156 5301445 6958460 7654306 10602890 11663179 15308612 19135765 21205780 23326358 38271530 46652716 58315895 76543060 105974987 116631790 211949974 233263580 423899948 529874935 1059749870 1165724857 2119499740 2331449714 4662899428 5828624285 6252524233 11657248570 12505048466 23314497140 25010096932 31262621165 62525242330 68777766563 125050484660 137555533126 275111066252 343888832815 687777665630 1375555331260