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3645375216 = 243757718803
BaseRepresentation
bin1101100101001000…
…0000001011110000
3100102001102020200220
43121102000023300
524431204001331
61401421013040
7156223115040
oct33122001360
910361366626
103645375216
1116007a039a
128589b4180
13461309472
14268201720
15165076296
hexd94802f0

3645375216 has 80 divisors (see below), whose sum is σ = 10781762304. Its totient is φ = 1039675392.

The previous prime is 3645375193. The next prime is 3645375221. The reversal of 3645375216 is 6125735463.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 184471 + ... + 203273.

Almost surely, 23645375216 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 3645375216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390881152).

3645375216 is an abundant number, since it is smaller than the sum of its proper divisors (7136387088).

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

3645375216 is a wasteful number, since it uses less digits than its factorization.

3645375216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19398 (or 19392 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 3645375216 is about 60376.9427513517. The cubic root of 3645375216 is about 1539.0311576321.

The spelling of 3645375216 in words is "three billion, six hundred forty-five million, three hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 577 1154 1731 2308 3462 4039 4616 6924 8078 9232 12117 13848 16156 18803 24234 27696 32312 37606 48468 56409 64624 75212 96936 112818 131621 150424 193872 225636 263242 300848 394863 451272 526484 789726 902544 1052968 1579452 2105936 3158904 6317808 10849331 21698662 32547993 43397324 65095986 75945317 86794648 130191972 151890634 173589296 227835951 260383944 303781268 455671902 520767888 607562536 911343804 1215125072 1822687608 3645375216