Search a number
-
+
330055124520000 = 26354111014635347
BaseRepresentation
bin100101100001011101111001…
…0011101000000110001000000
31121021121221222010011002212010
41023002323302131000301000
5321230110343334120000
63125545121521132520
7126343460445644505
oct11302736235006100
91537557863132763
10330055124520000
11961906572aa320
1231026a8948a140
13112220ac18ca29
145b70a78d494ac
152825757d2dd50
hex12c2ef2740c40

330055124520000 has 1120 divisors, whose sum is σ = 1205051320940544. Its totient is φ = 79035264000000.

The previous prime is 330055124519993. The next prime is 330055124520061. The reversal of 330055124520000 is 25421550033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 330055124520000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61727157327 + ... + 61727162673.

Almost surely, 2330055124520000 is an apocalyptic number.

330055124520000 is a gapful number since it is divisible by the number (30) 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 330055124520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602525660470272).

330055124520000 is an abundant number, since it is smaller than the sum of its proper divisors (874996196420544).

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

330055124520000 is a wasteful number, since it uses less digits than its factorization.

330055124520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 330055124520000 in words is "three hundred thirty trillion, fifty-five billion, one hundred twenty-four million, five hundred twenty thousand".