Search a number
-
+
60994321920 = 29365722329
BaseRepresentation
bin111000110011100010…
…110111111000000000
312211102210120121000000
4320303202313320000
51444404021300140
644004224000000
74256332116300
oct706342677000
9184383517000
1060994321920
112395a782914
12b9a2a60000
1359a0759a5c
142d48963600
1518bebb1a30
hexe338b7e00

60994321920 has 1680 divisors, whose sum is σ = 275330547360. Its totient is φ = 12875563008.

The previous prime is 60994321909. The next prime is 60994321991. The reversal of 60994321920 is 2912349906.

It is a happy number.

60994321920 is a `hidden beast` number, since 609 + 9 + 4 + 3 + 2 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2103252466 + ... + 2103252494.

Almost surely, 260994321920 is an apocalyptic number.

60994321920 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 60994321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137665273680).

60994321920 is an abundant number, since it is smaller than the sum of its proper divisors (214336225440).

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

60994321920 is an equidigital number, since it uses as much as digits as its factorization.

60994321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 60994321920 in words is "sixty billion, nine hundred ninety-four million, three hundred twenty-one thousand, nine hundred twenty".