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2155303232784 = 2432132389743757
BaseRepresentation
bin11111010111010010000…
…101010110010100010000
321122001012210021111120200
4133113102011112110100
5240303030111422114
64330044352135200
7311500265126262
oct37272205262420
97561183244520
102155303232784
11761071539249
122a9866837500
131283237327a0
14764626b7b32
153b0e7460409
hex1f5d2156510

2155303232784 has 480 divisors, whose sum is σ = 6872725117440. Its totient is φ = 625537769472.

The previous prime is 2155303232779. The next prime is 2155303232809. The reversal of 2155303232784 is 4872323035512.

It is a happy number.

2155303232784 is a `hidden beast` number, since 2 + 1 + 5 + 53 + 0 + 323 + 278 + 4 = 666.

It is a super-2 number, since 2×21553032327842 (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2847163734 + ... + 2847164490.

It is an arithmetic number, because the mean of its divisors is an integer number (14318177328).

Almost surely, 22155303232784 is an apocalyptic number.

2155303232784 is a gapful number since it is divisible by the number (24) 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 2155303232784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436362558720).

2155303232784 is an abundant number, since it is smaller than the sum of its proper divisors (4717421884656).

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

2155303232784 is a wasteful number, since it uses less digits than its factorization.

2155303232784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2155303232784 in words is "two trillion, one hundred fifty-five billion, three hundred three million, two hundred thirty-two thousand, seven hundred eighty-four".