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6031354016 = 25373612
BaseRepresentation
bin1011001110111111…
…10010100010100000
3120120100001112022002
411213133302202200
544323011312031
62434252503132
7302314443332
oct54737624240
916510045262
106031354016
1126155a65a6
121203a7aaa8
1375172613c
14413051452
1525477cccb
hex1677f28a0

6031354016 has 72 divisors (see below), whose sum is σ = 12407407740. Its totient is φ = 2886071040.

The previous prime is 6031354013. The next prime is 6031354031. The reversal of 6031354016 is 6104531306.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1243267600 + 4788086416 = 35260^2 + 69196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6031354016.

It is not an unprimeable number, because it can be changed into a prime (6031354013) 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 11 ways as a sum of consecutive naturals, for example, 98874626 + ... + 98874686.

Almost surely, 26031354016 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 6031354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203703870).

6031354016 is an abundant number, since it is smaller than the sum of its proper divisors (6376053724).

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

6031354016 is an frugal number, since it uses more digits than its factorization.

6031354016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 6031354016 is about 77661.7925108608. The cubic root of 6031354016 is about 1820.2803190977.

The spelling of 6031354016 in words is "six billion, thirty-one million, three hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 488 592 976 1184 1369 1952 2257 2738 3721 4514 5476 7442 9028 10952 14884 18056 21904 29768 36112 43808 50653 59536 72224 83509 101306 119072 137677 167018 202612 275354 334036 405224 550708 668072 810448 1101416 1336144 1620896 2202832 2672288 3089833 4405664 5094049 6179666 10188098 12359332 20376196 24718664 40752392 49437328 81504784 98874656 163009568 188479813 376959626 753919252 1507838504 3015677008 6031354016