Search a number
-
+
255500807640 = 233513401340813
BaseRepresentation
bin1110110111110100001…
…0001110110111011000
3220102111021211211121120
43231331002032313120
513141231201321030
6313213033005240
724313356013551
oct3557502166730
9812437754546
10255500807640
11993a25aa471
1241626853820
131b12a8c6360
14c51b1d9328
1569a5be8010
hex3b7d08edd8

255500807640 has 128 divisors (see below), whose sum is σ = 825690075840. Its totient is φ = 62875293696.

The previous prime is 255500807623. The next prime is 255500807669. The reversal of 255500807640 is 46708005552.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 255500807592 and 255500807601.

It is a congruent number.

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, 6239874 + ... + 6280686.

Almost surely, 2255500807640 is an apocalyptic number.

255500807640 is a gapful number since it is divisible by the number (20) 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 255500807640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412845037920).

255500807640 is an abundant number, since it is smaller than the sum of its proper divisors (570189268200).

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

255500807640 is a wasteful number, since it uses less digits than its factorization.

255500807640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44853 (or 44849 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 255500807640 in words is "two hundred fifty-five billion, five hundred million, eight hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4013 8026 12039 16052 20065 24078 32104 40130 40813 48156 52169 60195 80260 81626 96312 104338 120390 122439 156507 160520 163252 204065 208676 240780 244878 260845 313014 326504 408130 417352 481560 489756 521690 530569 612195 626028 782535 816260 979512 1043380 1061138 1224390 1252056 1565070 1591707 1632520 2086760 2122276 2448780 2652845 3130140 3183414 4244552 4897560 5305690 6260280 6366828 7958535 10611380 12733656 15917070 21222760 31834140 63668280 163782569 327565138 491347707 655130276 818912845 982695414 1310260552 1637825690 1965390828 2129173397 2456738535 3275651380 3930781656 4258346794 4913477070 6387520191 6551302760 8516693588 9826954140 10645866985 12775040382 17033387176 19653908280 21291733970 25550080764 31937600955 42583467940 51100161528 63875201910 85166935880 127750403820 255500807640