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2901378688 = 27133674751
BaseRepresentation
bin1010110011101111…
…1000011010000000
321111012110022022221
42230323320122000
521420223104223
61155522340424
7131620211665
oct25473703200
97435408287
102901378688
11125983082a
1268b7ba714
13373134430
141d7493a6c
1511eab2b5d
hexacef8680

2901378688 has 64 divisors (see below), whose sum is σ = 6242987520. Its totient is φ = 1335168000.

The previous prime is 2901378619. The next prime is 2901378703. The reversal of 2901378688 is 8868731092.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608313 + ... + 613063.

It is an arithmetic number, because the mean of its divisors is an integer number (97546680).

Almost surely, 22901378688 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 2901378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121493760).

2901378688 is an abundant number, since it is smaller than the sum of its proper divisors (3341608832).

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

2901378688 is a wasteful number, since it uses less digits than its factorization.

2901378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 2901378688 is about 53864.4473470210. The cubic root of 2901378688 is about 1426.2690962337.

It can be divided in two parts, 29013 and 78688, that added together give a palindrome (107701).

The spelling of 2901378688 in words is "two billion, nine hundred one million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 367 416 734 832 1468 1664 2936 4751 4771 5872 9502 9542 11744 19004 19084 23488 38008 38168 46976 61763 76016 76336 123526 152032 152672 247052 304064 305344 494104 608128 610688 988208 1743617 1976416 3487234 3952832 6974468 7905664 13948936 22667021 27897872 45334042 55795744 90668084 111591488 181336168 223182976 362672336 725344672 1450689344 2901378688