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1468013472 = 253213936671
BaseRepresentation
bin101011110000000…
…0001101110100000
310210022022210220100
41113200001232200
511001302412342
6401400342400
751243623442
oct12740015640
93708283810
101468013472
11693723282
1234b774a00
131a51a3033
14dcd78492
1588d2be4c
hex57801ba0

1468013472 has 72 divisors (see below), whose sum is σ = 4204811520. Its totient is φ = 485804160.

The previous prime is 1468013453. The next prime is 1468013497. The reversal of 1468013472 is 2743108641.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 21697 + ... + 58367.

It is an arithmetic number, because the mean of its divisors is an integer number (58400160).

Almost surely, 21468013472 is an apocalyptic number.

1468013472 is a gapful number since it is divisible by the number (12) 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 1468013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102405760).

1468013472 is an abundant number, since it is smaller than the sum of its proper divisors (2736798048).

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

1468013472 is a wasteful number, since it uses less digits than its factorization.

1468013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 36815 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1468013472 is about 38314.6639291016. The cubic root of 1468013472 is about 1136.5189472535.

The spelling of 1468013472 in words is "one billion, four hundred sixty-eight million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 36671 40032 73342 110013 146684 220026 293368 330039 440052 586736 660078 880104 1173472 1320156 1760208 2640312 3520416 5097269 5280624 10194538 10561248 15291807 20389076 30583614 40778152 45875421 61167228 81556304 91750842 122334456 163112608 183501684 244668912 367003368 489337824 734006736 1468013472