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4460161332 = 22311317331487
BaseRepresentation
bin1000010011101100…
…01010100100110100
3102111211120200010110
410021312022210310
533113300130312
62014324423020
7215345513544
oct41166124464
912454520113
104460161332
111989710250
12a45847a70
13561068523
143044d9324
151b186e43c
hex109d8a934

4460161332 has 96 divisors (see below), whose sum is σ = 11743248384. Its totient is φ = 1305302400.

The previous prime is 4460161319. The next prime is 4460161333. The reversal of 4460161332 is 2331610644.

It is a self number, because there is not a number n which added to its sum of digits gives 4460161332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460161333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998693 + ... + 3000179.

It is an arithmetic number, because the mean of its divisors is an integer number (122325504).

Almost surely, 24460161332 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 4460161332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871624192).

4460161332 is an abundant number, since it is smaller than the sum of its proper divisors (7283087052).

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

4460161332 is a wasteful number, since it uses less digits than its factorization.

4460161332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4460161332 is about 66784.4392953928. The cubic root of 4460161332 is about 1646.0771617386.

Adding to 4460161332 its reverse (2331610644), we get a palindrome (6791771976).

The spelling of 4460161332 in words is "four billion, four hundred sixty million, one hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 733 1023 1364 1466 1487 2046 2199 2932 2974 4092 4398 4461 5948 8063 8796 8922 16126 16357 17844 22723 24189 32252 32714 45446 46097 48378 49071 65428 68169 90892 92194 96756 98142 136338 138291 184388 196284 249953 272676 276582 499906 507067 553164 749859 999812 1014134 1089971 1499718 1521201 2028268 2179942 2999436 3042402 3269913 4359884 6084804 6539826 11989681 13079652 23979362 33789101 35969043 47958724 67578202 71938086 101367303 135156404 143876172 202734606 371680111 405469212 743360222 1115040333 1486720444 2230080666 4460161332