Search a number
-
+
12022455243540 = 223572175326317257
BaseRepresentation
bin1010111011110011001000…
…1011001001001100010100
31120120100001120120200000010
42232330302023021030110
53033433442020243130
641323012323520220
72350410435306600
oct256746213111424
946510046520003
1012022455243540
113915770618715
121422047b29070
13692935956141
142d7c65dc4500
1515cae94c60b0
hexaef322c9314

12022455243540 has 576 divisors, whose sum is σ = 42407707313664. Its totient is φ = 2527749439488.

The previous prime is 12022455243521. The next prime is 12022455243551. The reversal of 12022455243540 is 4534255422021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696662592 + ... + 696679848.

It is an arithmetic number, because the mean of its divisors is an integer number (73624491864).

Almost surely, 212022455243540 is an apocalyptic number.

12022455243540 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 12022455243540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21203853656832).

12022455243540 is an abundant number, since it is smaller than the sum of its proper divisors (30385252070124).

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

12022455243540 is a wasteful number, since it uses less digits than its factorization.

12022455243540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17616 (or 17607 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 12022455243540 in words is "twelve trillion, twenty-two billion, four hundred fifty-five million, two hundred forty-three thousand, five hundred forty".