Search a number
-
+
201623725255680 = 210345713233159127
BaseRepresentation
bin101101110110000000101110…
…100001011010110000000000
3222102220001002002011101220000
4231312000232201122300000
5202411400342131140210
61552452354412520000
760316555604261310
oct5566005641326000
9872801062141800
10201623725255680
1159275161650562
121a744041780000
1388670605b6b40
1437b08d726d440
151849a68493ac0
hexb7602e85ac00

201623725255680 has 7040 divisors, whose sum is σ = 981736473231360. Its totient is φ = 38405965086720.

The previous prime is 201623725255633. The next prime is 201623725255699. The reversal of 201623725255680 is 86552527326102.

201623725255680 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 2 + 3 + 7 + 2 + 5 + 2 + 556 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 639 ways as a sum of consecutive naturals, for example, 1587588387777 + ... + 1587588387903.

It is an arithmetic number, because the mean of its divisors is an integer number (139451203584).

Almost surely, 2201623725255680 is an apocalyptic number.

201623725255680 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 201623725255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490868236615680).

201623725255680 is an abundant number, since it is smaller than the sum of its proper divisors (780112747975680).

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

201623725255680 is a wasteful number, since it uses less digits than its factorization.

201623725255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 201623725255680 in words is "two hundred one trillion, six hundred twenty-three billion, seven hundred twenty-five million, two hundred fifty-five thousand, six hundred eighty".