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2064293581440 = 27351397734913
BaseRepresentation
bin11110000010100001011…
…111000101001010000000
321022100022011120012012010
4132002201133011022000
5232310133124101230
64220153503332520
7302066055633636
oct36024137051200
97270264505163
102064293581440
11726509a02162
122940a78b1140
1311c87b6a439c
1471cab679356
1538a6c6479b0
hex1e0a17c5280

2064293581440 has 128 divisors (see below), whose sum is σ = 6627274315200. Its totient is φ = 546517942272.

The previous prime is 2064293581409. The next prime is 2064293581459. The reversal of 2064293581440 is 441853924602.

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

It is a super-2 number, since 2×20642935814402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2064293581440.

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, 3600577 + ... + 4134336.

Almost surely, 22064293581440 is an apocalyptic number.

2064293581440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064293581440 is an abundant number, since it is smaller than the sum of its proper divisors (4562980733760).

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

2064293581440 is a wasteful number, since it uses less digits than its factorization.

2064293581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735074 (or 7735062 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 2064293581440 in words is "two trillion, sixty-four billion, two hundred ninety-three million, five hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 17792 22240 26688 33360 44480 53376 66720 88960 133440 266880 7734913 15469826 23204739 30939652 38674565 46409478 61879304 77349130 92818956 116023695 123758608 154698260 185637912 232047390 247517216 309396520 371275824 464094780 495034432 618793040 742551648 928189560 990068864 1075152907 1237586080 1485103296 1856379120 2150305814 2475172160 2970206592 3225458721 3712758240 4300611628 4950344320 5375764535 6450917442 7425516480 8601223256 10751529070 12901834884 14851032960 16127293605 17202446512 21503058140 25803669768 32254587210 34404893024 43006116280 51607339536 64509174420 68809786048 86012232560 103214679072 129018348840 137619572096 172024465120 206429358144 258036697680 344048930240 412858716288 516073395360 688097860480 1032146790720 2064293581440