Search a number
-
+
8033802104928 = 253349686334939
BaseRepresentation
bin111010011101000001111…
…1010111011000001100000
31001110000122111000020200110
41310322003322323001200
52023111211314324203
625030402220251320
71456265051112135
oct164720372730140
931400574006613
108033802104928
112618130935a46
12a990080a0b40
134637798ac792
141daba3a4658c
15dde9e773d03
hex74e83ebb060

8033802104928 has 96 divisors (see below), whose sum is σ = 21152843712000. Its totient is φ = 2669795375616.

The previous prime is 8033802104863. The next prime is 8033802104929. The reversal of 8033802104928 is 8294012083308.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×80338021049282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8033802104929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229920483 + ... + 229955421.

It is an arithmetic number, because the mean of its divisors is an integer number (220342122000).

Almost surely, 28033802104928 is an apocalyptic number.

It is an amenable number.

8033802104928 is an abundant number, since it is smaller than the sum of its proper divisors (13119041607072).

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

8033802104928 is a wasteful number, since it uses less digits than its factorization.

8033802104928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164 (or 42156 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 8033802104928 in words is "eight trillion, thirty-three billion, eight hundred two million, one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 698 1047 1396 2094 2792 4188 5584 6863 8376 11168 13726 16752 20589 27452 33504 34939 41178 54904 69878 82356 104817 109808 139756 164712 209634 219616 279512 329424 419268 559024 658848 838536 1118048 1677072 2395187 3354144 4790374 7185561 9580748 12193711 14371122 19161496 24387422 28742244 36581133 38322992 48774844 57484488 73162266 76645984 97549688 114968976 146324532 195099376 229937952 239786357 292649064 390198752 479572714 585298128 719359071 959145428 1170596256 1438718142 1918290856 2877436284 3836581712 5754872568 7673163424 11509745136 23019490272 83685438593 167370877186 251056315779 334741754372 502112631558 669483508744 1004225263116 1338967017488 2008450526232 2677934034976 4016901052464 8033802104928