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1472105664 = 2635103919
BaseRepresentation
bin101011110111110…
…1000110011000000
310210121000201100000
41113233220303000
511003324340124
6402024200000
751323456151
oct12757506300
93717021300
101472105664
11695a68857
12351009000
131a5ca6853
14dd721928
15893896c9
hex57be8cc0

1472105664 has 168 divisors, whose sum is σ = 4423095040. Its totient is φ = 485409024.

The previous prime is 1472105653. The next prime is 1472105683. The reversal of 1472105664 is 4665012741.

1472105664 is a `hidden beast` number, since 14 + 72 + 10 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1601397 + ... + 1602315.

Almost surely, 21472105664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211547520).

1472105664 is an abundant number, since it is smaller than the sum of its proper divisors (2950989376).

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

1472105664 is an equidigital number, since it uses as much as digits as its factorization.

1472105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1472105664 is about 38368.0291909814. The cubic root of 1472105664 is about 1137.5740099815.

The spelling of 1472105664 in words is "one billion, four hundred seventy-two million, one hundred five thousand, six hundred sixty-four".