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4043339616 = 25329261821
BaseRepresentation
bin1111000100000000…
…0111011101100000
3101102210020221020010
43301000013131200
531240043331431
61505114444520
7202124551101
oct36100073540
911383227203
104043339616
1117953a5998
1294a133740
134c58b7364
142a4dd63a8
15189e86846
hexf1007760

4043339616 has 144 divisors (see below), whose sum is σ = 11186190288. Its totient is φ = 1278412800.

The previous prime is 4043339611. The next prime is 4043339627. The reversal of 4043339616 is 6169333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043339611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924486 + ... + 4925306.

It is an arithmetic number, because the mean of its divisors is an integer number (77681877).

Almost surely, 24043339616 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 4043339616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593095144).

4043339616 is an abundant number, since it is smaller than the sum of its proper divisors (7142850672).

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

4043339616 is a wasteful number, since it uses less digits than its factorization.

4043339616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 4043339616 is about 63587.2598560435. The cubic root of 4043339616 is about 1593.1135824727.

The spelling of 4043339616 in words is "four billion, forty-three million, three hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 464 488 696 732 821 841 928 976 1392 1464 1642 1682 1769 1952 2463 2523 2784 2928 3284 3364 3538 4926 5046 5307 5856 6568 6728 7076 9852 10092 10614 13136 13456 14152 19704 20184 21228 23809 26272 26912 28304 39408 40368 42456 47618 50081 51301 56608 71427 78816 80736 84912 95236 100162 102602 142854 150243 153903 169824 190472 200324 205204 285708 300486 307806 380944 400648 410408 571416 600972 615612 690461 761888 801296 820816 1142832 1201944 1231224 1380922 1452349 1602592 1641632 2071383 2285664 2403888 2462448 2761844 2904698 4142766 4357047 4807776 4924896 5523688 5809396 8285532 8714094 11047376 11618792 16571064 17428188 22094752 23237584 33142128 34856376 42118121 46475168 66284256 69712752 84236242 126354363 139425504 168472484 252708726 336944968 505417452 673889936 1010834904 1347779872 2021669808 4043339616