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2664275480064 = 29331117520751
BaseRepresentation
bin100110110001010011001…
…100011000111000000000
3100102200221221100121021000
4212301103030120320000
5322122414010330224
65355541245532000
7363326141631162
oct46612314307000
910380857317230
102664275480064
11937a05061940
12370430574000
13164317664703
1492d4736a932
1549485adc0c9
hex26c53318e00

2664275480064 has 160 divisors (see below), whose sum is σ = 8603390062080. Its totient is φ = 807356160000.

The previous prime is 2664275480063. The next prime is 2664275480131. The reversal of 2664275480064 is 4600845724662.

It is a happy number.

2664275480064 is a `hidden beast` number, since 2 + 66 + 42 + 7 + 5 + 480 + 0 + 64 = 666.

It is a super-2 number, since 2×26642754800642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664275480063) 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, 8608312 + ... + 8912439.

It is an arithmetic number, because the mean of its divisors is an integer number (53771187888).

Almost surely, 22664275480064 is an apocalyptic number.

2664275480064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2664275480064 is an abundant number, since it is smaller than the sum of its proper divisors (5939114582016).

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

2664275480064 is a wasteful number, since it uses less digits than its factorization.

2664275480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520789 (or 17520767 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2664275480064 in words is "two trillion, six hundred sixty-four billion, two hundred seventy-five million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 17520751 35041502 52562253 70083004 105124506 140166008 157686759 192728261 210249012 280332016 315373518 385456522 420498024 473060277 560664032 578184783 630747036 770913044 840996048 946120554 1121328064 1156369566 1261494072 1541826088 1681992096 1734554349 1892241108 2242656128 2312739132 2522988144 3083652176 3363984192 3469108698 3784482216 4485312256 4625478264 5045976288 5203663047 6167304352 6727968384 6938217396 7568964432 8970624512 9250956528 10091952576 10407326094 12334608704 13455936768 13876434792 15137928864 18501913056 20183905152 20814652188 24669217408 26911873536 27752869584 30275857728 37003826112 40367810304 41629304376 49338434816 55505739168 60551715456 74007652224 80735620608 83258608752 98676869632 111011478336 121103430912 148015304448 166517217504 222022956672 242206861824 296030608896 333034435008 444045913344 666068870016 888091826688 1332137740032 2664275480064