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1641130272 = 253213143499
BaseRepresentation
bin110000111010001…
…1010100100100000
311020101002001111200
41201310122210200
511330112132042
6430503041200
755445243235
oct14164324440
94211061450
101641130272
11772414511
12399740200
13202006c02
14117d5d78c
1599125c4c
hex61d1a920

1641130272 has 72 divisors (see below), whose sum is σ = 4702698000. Its totient is φ = 542855040.

The previous prime is 1641130243. The next prime is 1641130277. The reversal of 1641130272 is 2720311461.

1641130272 is a `hidden beast` number, since 1 + 641 + 13 + 0 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1641130277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15979 + ... + 59477.

It is an arithmetic number, because the mean of its divisors is an integer number (65315250).

Almost surely, 21641130272 is an apocalyptic number.

1641130272 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 1641130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351349000).

1641130272 is an abundant number, since it is smaller than the sum of its proper divisors (3061567728).

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

1641130272 is a wasteful number, since it uses less digits than its factorization.

1641130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43646 (or 43635 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1641130272 is about 40510.8660978755. The cubic root of 1641130272 is about 1179.5445604255.

The spelling of 1641130272 in words is "one billion, six hundred forty-one million, one hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 43499 86998 130497 173996 260994 347992 391491 521988 695984 782982 1043976 1391968 1565964 2087952 3131928 4175904 5698369 6263856 11396738 12527712 17095107 22793476 34190214 45586952 51285321 68380428 91173904 102570642 136760856 182347808 205141284 273521712 410282568 547043424 820565136 1641130272