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2745691008 = 27361251467
BaseRepresentation
bin1010001110100111…
…1110101110000000
321002100111112222120
42203221332232000
521110344103013
61132241404240
7125016663024
oct24351765600
97070445876
102745691008
111189964325
12647639680
13349ac3748
141c0928384
151110ad123
hexa3a7eb80

2745691008 has 128 divisors (see below), whose sum is σ = 7458272640. Its totient is φ = 894720000.

The previous prime is 2745691001. The next prime is 2745691027. The reversal of 2745691008 is 8001965472.

2745691008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×27456910082 = 15077638222824112128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745691001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5879191 + ... + 5879657.

It is an arithmetic number, because the mean of its divisors is an integer number (58267755).

Almost surely, 22745691008 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 2745691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729136320).

2745691008 is an abundant number, since it is smaller than the sum of its proper divisors (4712581632).

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

2745691008 is a wasteful number, since it uses less digits than its factorization.

2745691008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2745691008 is about 52399.3416752539. The cubic root of 2745691008 is about 1400.2875273391.

The spelling of 2745691008 in words is "two billion, seven hundred forty-five million, six hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 251 366 384 467 488 502 732 753 934 976 1004 1401 1464 1506 1868 1952 2008 2802 2928 3012 3736 3904 4016 5604 5856 6024 7472 7808 8032 11208 11712 12048 14944 15311 16064 22416 23424 24096 28487 29888 30622 32128 44832 45933 48192 56974 59776 61244 85461 89664 91866 96384 113948 117217 122488 170922 179328 183732 227896 234434 244976 341844 351651 367464 455792 468868 489952 683688 703302 734928 911584 937736 979904 1367376 1406604 1469856 1823168 1875472 1959808 2734752 2813208 2939712 3646336 3750944 5469504 5626416 5879424 7150237 7501888 10939008 11252832 14300474 15003776 21450711 22505664 28600948 42901422 45011328 57201896 85802844 114403792 171605688 228807584 343211376 457615168 686422752 915230336 1372845504 2745691008