Search a number
-
+
6172122465600 = 26352713137103141
BaseRepresentation
bin101100111010000111100…
…1010101100010101000000
3210212001022211022202110120
41121310033022230111000
51302111001322344400
621043233420500240
71204630643221530
oct131641712542500
923761284282416
106172122465600
111a6a645252423
128382473aa680
1335a04ac3c490
14174a376bd4c0
15aa83ecd6ca0
hex59d0f2ac540

6172122465600 has 672 divisors, whose sum is σ = 25104875018496. Its totient is φ = 1292732006400.

The previous prime is 6172122465557. The next prime is 6172122465601. The reversal of 6172122465600 is 65642212716.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6172122465601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 59790030 + ... + 59893170.

It is an arithmetic number, because the mean of its divisors is an integer number (37358444968).

Almost surely, 26172122465600 is an apocalyptic number.

6172122465600 is a gapful number since it is divisible by the number (60) 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 6172122465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552437509248).

6172122465600 is an abundant number, since it is smaller than the sum of its proper divisors (18932752552896).

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

6172122465600 is a wasteful number, since it uses less digits than its factorization.

6172122465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103323 (or 103308 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 6172122465600 in words is "six trillion, one hundred seventy-two billion, one hundred twenty-two million, four hundred sixty-five thousand, six hundred".