Search a number
-
+
2455413250840 = 2351119605348523
BaseRepresentation
bin100011101110110010000…
…010001101101100011000
322200201211222020000201121
4203232302002031230120
5310212141243011330
65120000135255024
7342253300160164
oct43566202155430
98621758200647
102455413250840
11867375849760
12337a60b1a474
1314a7102a1a24
1486bb2297ca4
1543d0e60217a
hex23bb208db18

2455413250840 has 128 divisors (see below), whose sum is σ = 6345308793600. Its totient is φ = 845726814720.

The previous prime is 2455413250831. The next prime is 2455413250853. The reversal of 2455413250840 is 480523145542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50578819 + ... + 50627341.

It is an arithmetic number, because the mean of its divisors is an integer number (49572724950).

Almost surely, 22455413250840 is an apocalyptic number.

2455413250840 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 2455413250840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172654396800).

2455413250840 is an abundant number, since it is smaller than the sum of its proper divisors (3889895542760).

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

2455413250840 is a wasteful number, since it uses less digits than its factorization.

2455413250840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54617 (or 54613 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 43.

The spelling of 2455413250840 in words is "two trillion, four hundred fifty-five billion, four hundred thirteen million, two hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 6053 8360 12106 24212 30265 48424 48523 60530 66583 97046 115007 121060 133166 194092 230014 242120 242615 266332 332915 388184 460028 485230 532664 533753 575035 665830 920056 921937 970460 1067506 1150070 1265077 1331660 1843874 1940920 2135012 2300140 2530154 2663320 2668765 3687748 4270024 4600280 4609685 5060308 5337530 6325385 7375496 9219370 10120616 10141307 10675060 12650770 18438740 20282614 21350120 25301540 36877480 40565228 50603080 50706535 81130456 101413070 202826140 293709719 405652280 587419438 1174838876 1468548595 2349677752 2937097190 3230806909 5580484661 5874194380 6461613818 11160969322 11748388760 12923227636 16154034545 22321938644 25846455272 27902423305 32308069090 44643877288 55804846610 61385331271 64616138180 111609693220 122770662542 129232276360 223219386440 245541325084 306926656355 491082650168 613853312710 1227706625420 2455413250840