Search a number
-
+
6138944532 = 2233713161987
BaseRepresentation
bin1011011011110100…
…01101110000010100
3120211211111200202000
411231322031300110
5100033032211112
62453054515300
7305062111320
oct55572156024
916754450660
106138944532
112670301986
121233b05b30
1376aac6876
1442345a980
1525de317dc
hex16de8dc14

6138944532 has 96 divisors (see below), whose sum is σ = 18328611840. Its totient is φ = 1740566880.

The previous prime is 6138944531. The next prime is 6138944543. The reversal of 6138944532 is 2354498316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138944531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68043 + ... + 130029.

It is an arithmetic number, because the mean of its divisors is an integer number (190923040).

Almost surely, 26138944532 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 6138944532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164305920).

6138944532 is an abundant number, since it is smaller than the sum of its proper divisors (12189667308).

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

6138944532 is a wasteful number, since it uses less digits than its factorization.

6138944532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62138 (or 62130 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6138944532 is about 78351.4169112467. The cubic root of 6138944532 is about 1831.0403007411.

The spelling of 6138944532 in words is "six billion, one hundred thirty-eight million, nine hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1572 1834 2358 2751 3537 3668 4716 5502 7074 8253 11004 14148 16506 24759 33012 49518 61987 99036 123974 185961 247948 371922 433909 557883 743844 867818 1115766 1301727 1673649 1735636 2231532 2603454 3347298 3905181 5206908 6694596 7810362 8120297 11715543 15620724 16240594 23431086 24360891 32481188 46862172 48721782 56842079 73082673 97443564 113684158 146165346 170526237 219248019 227368316 292330692 341052474 438496038 511578711 682104948 876992076 1023157422 1534736133 2046314844 3069472266 6138944532