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3323985540980 = 22513192109332401
BaseRepresentation
bin110000010111101100111…
…110100011011101110100
3102202202210021020000211212
4300113230332203131310
5413430010244302410
611023003510020552
7462102313626356
oct60275476433564
912682707200755
103323985540980
1110717701aaa15
12458264047758
131b15b19647c0
14b6c4b78d0d6
155b6e79d9b05
hex305ecfa3774

3323985540980 has 144 divisors (see below), whose sum is σ = 7941297050064. Its totient is φ = 1161622425600.

The previous prime is 3323985540949. The next prime is 3323985541007. The reversal of 3323985540980 is 890455893233.

It can be written as a sum of positive squares in 8 ways, for example, as 636864649444 + 2687120891536 = 798038^2 + 1639244^2 .

It is a super-2 number, since 2×33239855409802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102572780 + ... + 102605180.

It is an arithmetic number, because the mean of its divisors is an integer number (55147896181).

Almost surely, 23323985540980 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 3323985540980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970648525032).

3323985540980 is an abundant number, since it is smaller than the sum of its proper divisors (4617311509084).

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

3323985540980 is a wasteful number, since it uses less digits than its factorization.

3323985540980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33554 (or 33533 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 59.

The spelling of 3323985540980 in words is "three trillion, three hundred twenty-three billion, nine hundred eighty-five million, five hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1093 1235 1444 1805 2186 2470 3610 4372 4693 4940 5465 7220 9386 10930 14209 18772 20767 21860 23465 28418 32401 41534 46930 56836 64802 71045 83068 93860 103835 129604 142090 162005 207670 269971 284180 324010 394573 415340 421213 539942 615619 648020 789146 842426 1079884 1231238 1349855 1578292 1684852 1972865 2106065 2462476 2699710 3078095 3945730 4212130 5129449 5399420 6156190 7891460 8003047 8424260 10258898 11696761 12312380 16006094 20517796 23393522 25647245 32012188 35414293 40015235 46787044 51294490 58483805 70828586 80030470 102588980 116967610 141657172 152057893 160060940 177071465 233935220 304115786 354142930 460385809 608231572 672871567 708285860 760289465 920771618 1345743134 1520578930 1841543236 2301929045 2691486268 3041157860 3364357835 4603858090 6728715670 8747330371 9207716180 12784559773 13457431340 17494660742 25569119546 34989321484 43736651855 51138239092 63922798865 87473303710 127845597730 166199277049 174946607420 255691195460 332398554098 664797108196 830996385245 1661992770490 3323985540980