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2601693426912 = 25347619931529
BaseRepresentation
bin100101110111000001000…
…000110011010011100000
3100012201102111011220110120
4211313001000303103200
5320111232004130122
65311111303200240
7355652250150546
oct45670100632340
910181374156416
102601693426912
11913410128058
12360285a46080
1315b452ca9328
148dccb9c7d96
1547a2185175c
hex25dc10334e0

2601693426912 has 96 divisors (see below), whose sum is σ = 6986027865600. Its totient is φ = 847407295488.

The previous prime is 2601693426887. The next prime is 2601693426929. The reversal of 2601693426912 is 2196243961062.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2327164 + ... + 3258692.

It is an arithmetic number, because the mean of its divisors is an integer number (72771123600).

Almost surely, 22601693426912 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 2601693426912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493013932800).

2601693426912 is an abundant number, since it is smaller than the sum of its proper divisors (4384334438688).

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

2601693426912 is a wasteful number, since it uses less digits than its factorization.

2601693426912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932208 (or 932200 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 2601693426912 in words is "two trillion, six hundred one billion, six hundred ninety-three million, four hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 619 752 1128 1238 1504 1857 2256 2476 3714 4512 4952 7428 9904 14856 19808 29093 29712 58186 59424 87279 116372 174558 232744 349116 465488 698232 930976 931529 1396464 1863058 2792928 2794587 3726116 5589174 7452232 11178348 14904464 22356696 29808928 43781863 44713392 87563726 89426784 131345589 175127452 262691178 350254904 525382356 576616451 700509808 1050764712 1153232902 1401019616 1729849353 2101529424 2306465804 3459698706 4203058848 4612931608 6919397412 9225863216 13838794824 18451726432 27100973197 27677589648 54201946394 55355179296 81302919591 108403892788 162605839182 216807785576 325211678364 433615571152 650423356728 867231142304 1300846713456 2601693426912