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3327130828840 = 235731318654019
BaseRepresentation
bin110000011010101000011…
…100111000000000101000
3102210001220110122012122211
4300122220130320000220
5414002430443010330
611024243544254504
7462243255265000
oct60325034700050
912701813565584
103327130828840
111073034684275
124589a1471434
131b1993488190
14b70693b5000
155b82dbcbd2a
hex306a8738028

3327130828840 has 128 divisors (see below), whose sum is σ = 9401626080000. Its totient is φ = 1052982008064.

The previous prime is 3327130828817. The next prime is 3327130828843. The reversal of 3327130828840 is 488280317233.

It is a happy number.

It is a super-2 number, since 2×33271308288402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3327130828843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9148650 + ... + 9505369.

It is an arithmetic number, because the mean of its divisors is an integer number (73450203750).

Almost surely, 23327130828840 is an apocalyptic number.

It is an amenable number.

3327130828840 is an abundant number, since it is smaller than the sum of its proper divisors (6074495251160).

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

3327130828840 is a wasteful number, since it uses less digits than its factorization.

3327130828840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18654064 (or 18654046 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 3327130828840 in words is "three trillion, three hundred twenty-seven billion, one hundred thirty million, eight hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 343 364 392 455 490 520 637 686 728 910 980 1274 1372 1715 1820 1960 2548 2744 3185 3430 3640 4459 5096 6370 6860 8918 12740 13720 17836 22295 25480 35672 44590 89180 178360 18654019 37308038 74616076 93270095 130578133 149232152 186540190 242502247 261156266 373080380 485004494 522312532 652890665 746160760 914046931 970008988 1044625064 1212511235 1305781330 1697515729 1828093862 1940017976 2425022470 2611562660 3395031458 3656187724 4570234655 4850044940 5223125320 6398328517 6790062916 7312375448 8487578645 9140469310 9700089880 11882610103 12796657034 13580125832 16975157290 18280938620 23765220206 25593314068 31991642585 33950314580 36561877240 47530440412 51186628136 59413050515 63983285170 67900629160 83178270721 95060880824 118826101030 127966570340 166356541442 237652202060 255933140680 332713082884 415891353605 475304404120 665426165768 831782707210 1663565414420 3327130828840