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3378492957056 = 27731300140531
BaseRepresentation
bin110001001010011101110…
…111110110000110000000
3102221222110222112122220212
4301022131313312012000
5420323123144111211
611104020325053252
7466042130211020
oct61123567660600
912858428478825
103378492957056
1110928a1219418
12466936557228
131b678a4a6719
14b973c999a80
155cd37e3538b
hex3129ddf6180

3378492957056 has 128 divisors (see below), whose sum is σ = 7943078737920. Its totient is φ = 1400716800000.

The previous prime is 3378492957011. The next prime is 3378492957113. The reversal of 3378492957056 is 6507592948733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33784929570562 (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 15 ways as a sum of consecutive naturals, for example, 83335511 + ... + 83376041.

It is an arithmetic number, because the mean of its divisors is an integer number (62055302640).

Almost surely, 23378492957056 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 3378492957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971539368960).

3378492957056 is an abundant number, since it is smaller than the sum of its proper divisors (4564585780864).

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

3378492957056 is a wasteful number, since it uses less digits than its factorization.

3378492957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43584 (or 43572 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 68.

The spelling of 3378492957056 in words is "three trillion, three hundred seventy-eight billion, four hundred ninety-two million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3001 3472 3968 6002 6944 12004 13888 21007 24008 27776 40531 42014 48016 81062 84028 93031 96032 162124 168056 186062 192064 283717 324248 336112 372124 384128 567434 648496 651217 672224 744248 1134868 1256461 1296992 1302434 1344448 1488496 2269736 2512922 2593984 2604868 2688896 2976992 4539472 5025844 5187968 5209736 5953984 8795227 9078944 10051688 10419472 11907968 17590454 18157888 20103376 20838944 35180908 36315776 40206752 41677888 70361816 80413504 83355776 121633531 140723632 160827008 243267062 281447264 486534124 562894528 851434717 973068248 1125789056 1702869434 1946136496 3405738868 3770639461 3892272992 6811477736 7541278922 7784545984 13622955472 15082557844 15569091968 26394476227 27245910944 30165115688 52788952454 54491821888 60330231376 105577904908 108983643776 120660462752 211155809816 241320925504 422311619632 482641851008 844623239264 1689246478528 3378492957056