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6042641904 = 2433131796011
BaseRepresentation
bin1011010000010101…
…10110010111110000
3120121010022000101000
411220022312113300
544333404020104
62435334442000
7302512415535
oct55012662760
916533260330
106042641904
112620a06332
121207803300
13753b78c70
1441474cd8c
1525575c639
hex1682b65f0

6042641904 has 160 divisors (see below), whose sum is σ = 18786297600. Its totient is φ = 1848579840.

The previous prime is 6042641867. The next prime is 6042641911. The reversal of 6042641904 is 4091462406.

6042641904 is a `hidden beast` number, since 6 + 0 + 4 + 2 + 641 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002259 + ... + 1008269.

It is an arithmetic number, because the mean of its divisors is an integer number (117414360).

Almost surely, 26042641904 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 6042641904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393148800).

6042641904 is an abundant number, since it is smaller than the sum of its proper divisors (12743655696).

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

6042641904 is a wasteful number, since it uses less digits than its factorization.

6042641904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6042641904 is about 77734.4319076174. The cubic root of 6042641904 is about 1821.4151839728.

The spelling of 6042641904 in words is "six billion, forty-two million, six hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 179 208 216 234 312 351 358 432 468 537 624 702 716 936 1074 1404 1432 1611 1872 2148 2327 2808 2864 3222 4296 4654 4833 5616 6011 6444 6981 8592 9308 9666 12022 12888 13962 18033 18616 19332 20943 24044 25776 27924 36066 37232 38664 41886 48088 54099 55848 62829 72132 77328 78143 83772 96176 108198 111696 125658 144264 156286 162297 167544 216396 234429 251316 288528 312572 324594 335088 432792 468858 502632 625144 649188 703287 865584 937716 1005264 1075969 1250288 1298376 1406574 1875432 2109861 2151938 2596752 2813148 3227907 3750864 4219722 4303876 5626296 6455814 8439444 8607752 9683721 11252592 12911628 13987597 16878888 17215504 19367442 25823256 27975194 29051163 33757776 38734884 41962791 51646512 55950388 58102326 77469768 83925582 111900776 116204652 125888373 154939536 167851164 223801552 232409304 251776746 335702328 377665119 464818608 503553492 671404656 755330238 1007106984 1510660476 2014213968 3021320952 6042641904