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1472441249664 = 273271123231379
BaseRepresentation
bin10101011011010100010…
…101100110111110000000
312012202121221222120022200
4111123110111212332000
5143111024424442124
63044232530033200
7211244316054450
oct25332425467600
95182557876280
101472441249664
11518505776370
121b9451718800
13a8b09a50748
14513a353bd60
152847cc43bc9
hex156d4566f80

1472441249664 has 576 divisors, whose sum is σ = 5522463273600. Its totient is φ = 365812254720.

The previous prime is 1472441249659. The next prime is 1472441249677. The reversal of 1472441249664 is 4669421442741.

1472441249664 is a `hidden beast` number, since 1 + 47 + 2 + 44 + 12 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14724412496642 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1472441249664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46908727 + ... + 46940105.

It is an arithmetic number, because the mean of its divisors is an integer number (9587609850).

Almost surely, 21472441249664 is an apocalyptic number.

1472441249664 is a gapful number since it is divisible by the number (14) 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 1472441249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761231636800).

1472441249664 is an abundant number, since it is smaller than the sum of its proper divisors (4050022023936).

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

1472441249664 is a wasteful number, since it uses less digits than its factorization.

1472441249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31463 (or 31425 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 1472441249664 in words is "one trillion, four hundred seventy-two billion, four hundred forty-one million, two hundred forty-nine thousand, six hundred sixty-four".