Search a number
-
+
155253312432160 = 2551816571815851
BaseRepresentation
bin100011010011001110111010…
…100010011010100000100000
3202100201001221021121202122121
4203103032322202122200200
5130322132240440312120
61310110215341114024
744462452545520105
oct4323167242324040
9670631837552577
10155253312432160
1145517618471308
12154b5170258914
13688242b034c97
142a4a42c4a8aac
1512e37656765aa
hex8d33ba89a820

155253312432160 has 96 divisors (see below), whose sum is σ = 368868971749824. Its totient is φ = 61748749440000.

The previous prime is 155253312432107. The next prime is 155253312432161. The reversal of 155253312432160 is 61234213352551.

It is not an unprimeable number, because it can be changed into a prime (155253312432161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189888235 + ... + 190704085.

It is an arithmetic number, because the mean of its divisors is an integer number (3842385122394).

Almost surely, 2155253312432160 is an apocalyptic number.

155253312432160 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 155253312432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184434485874912).

155253312432160 is an abundant number, since it is smaller than the sum of its proper divisors (213615659317664).

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

155253312432160 is a wasteful number, since it uses less digits than its factorization.

155253312432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822618 (or 822610 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 155253312432160 in words is "one hundred fifty-five trillion, two hundred fifty-three billion, three hundred twelve million, four hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 6571 7240 13142 14480 26284 28960 32855 52568 65710 105136 131420 210272 262840 525680 815851 1051360 1189351 1631702 2378702 3263404 4079255 4757404 5946755 6526808 8158510 9514808 11893510 13053616 16317020 19029616 23787020 26107232 32634040 38059232 47574040 65268080 95148080 130536160 147669031 190296160 295338062 590676124 738345155 1181352248 1476690310 2362704496 2953380620 4725408992 5360956921 5906761240 10721913842 11813522480 21443827684 23627044960 26804784605 42887655368 53609569210 85775310736 107219138420 171550621472 214438276840 428876553680 857753107360 970333202701 1940666405402 3881332810804 4851666013505 7762665621608 9703332027010 15525331243216 19406664054020 31050662486432 38813328108040 77626656216080 155253312432160