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3332678071044 = 22371720171157069
BaseRepresentation
bin110000011111110011000…
…101111011001100000100
3102210121020001202022101210
4300133303011323030010
5414100311041233134
611031002225051420
7462530604126540
oct60376305731404
912717201668353
103332678071044
111075420985463
12459a8b186b70
131b23687ccc0a
14b7434008a20
155ba55bce2e9
hex307f317b304

3332678071044 has 96 divisors (see below), whose sum is σ = 9414587992320. Its totient is φ = 895737249792.

The previous prime is 3332678071043. The next prime is 3332678071091. The reversal of 3332678071044 is 4401708762333.

It is a happy number.

3332678071044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33326780710443 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3332678070984 and 3332678071002.

It is not an unprimeable number, because it can be changed into a prime (3332678071043) 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, 2301742 + ... + 3458810.

It is an arithmetic number, because the mean of its divisors is an integer number (98068624920).

Almost surely, 23332678071044 is an apocalyptic number.

3332678071044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332678071044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707293996160).

3332678071044 is an abundant number, since it is smaller than the sum of its proper divisors (6081909921276).

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

3332678071044 is a wasteful number, since it uses less digits than its factorization.

3332678071044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159117 (or 1159115 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 3332678071044 in words is "three trillion, three hundred thirty-two billion, six hundred seventy-eight million, seventy-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2017 4034 6051 8068 12102 14119 24204 28238 34289 42357 56476 68578 84714 102867 137156 169428 205734 240023 411468 480046 720069 960092 1157069 1440138 2314138 2880276 3471207 4628276 6942414 8099483 13884828 16198966 19670173 24298449 32397932 39340346 48596898 59010519 78680692 97193796 118021038 137691211 236042076 275382422 413073633 550764844 826147266 1652294532 2333808173 4667616346 7001424519 9335232692 14002849038 16336657211 28005698076 32673314422 39674738941 49009971633 65346628844 79349477882 98019943266 119024216823 158698955764 196039886532 238048433646 277723172587 476096867292 555446345174 833169517761 1110892690348 1666339035522 3332678071044