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1352665004064 = 253116132089613
BaseRepresentation
bin10011101011110001000…
…111011111100000100000
311210022110112211212011020
4103223301013133200200
5134130224220112224
62513223345245440
7166504204553313
oct23536107374040
94708415755136
101352665004064
11481731149240
1219a1a4933880
139a72c01993a
144967dbdc97a
15252bc73ac79
hex13af11df820

1352665004064 has 96 divisors (see below), whose sum is σ = 3879861539904. Its totient is φ = 409229614080.

The previous prime is 1352665004029. The next prime is 1352665004083. The reversal of 1352665004064 is 4604005662531.

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

It is a super-2 number, since 2×13526650040642 (a number of 25 digits) contains 22 as substring.

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, 397479 + ... + 1692134.

It is an arithmetic number, because the mean of its divisors is an integer number (40415224374).

Almost surely, 21352665004064 is an apocalyptic number.

It is an amenable number.

1352665004064 is an abundant number, since it is smaller than the sum of its proper divisors (2527196535840).

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

1352665004064 is a wasteful number, since it uses less digits than its factorization.

1352665004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090250 (or 2090242 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1352665004064 in words is "one trillion, three hundred fifty-two billion, six hundred sixty-five million, four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 613 1056 1226 1839 2452 3678 4904 6743 7356 9808 13486 14712 19616 20229 26972 29424 40458 53944 58848 80916 107888 161832 215776 323664 647328 2089613 4179226 6268839 8358452 12537678 16716904 22985743 25075356 33433808 45971486 50150712 66867616 68957229 91942972 100301424 137914458 183885944 200602848 275828916 367771888 551657832 735543776 1103315664 1280932769 2206631328 2561865538 3842798307 5123731076 7685596614 10247462152 14090260459 15371193228 20494924304 28180520918 30742386456 40989848608 42270781377 56361041836 61484772912 84541562754 112722083672 122969545824 169083125508 225444167344 338166251016 450888334688 676332502032 1352665004064