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645303143106 = 232175352376079
BaseRepresentation
bin10010110001111110001…
…00001000101011000010
32021200122021201011201100
421120333010020223002
541033040101034411
61212240445515230
764423133133306
oct11307704105302
92250567634640
10645303143106
1122974288a536
12a5092872b16
1348b0c5c9c6b
1423338ca3d06
1511bbc1db456
hex963f108ac2

645303143106 has 96 divisors (see below), whose sum is σ = 1511237295360. Its totient is φ = 198245878272.

The previous prime is 645303143071. The next prime is 645303143117. The reversal of 645303143106 is 601341303546.

645303143106 is a `hidden beast` number, since 6 + 4 + 530 + 3 + 14 + 3 + 106 = 666.

It is a super-2 number, since 2×6453031431062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8443975 + ... + 8520053.

It is an arithmetic number, because the mean of its divisors is an integer number (15742055160).

Almost surely, 2645303143106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645303143106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755618647680).

645303143106 is an abundant number, since it is smaller than the sum of its proper divisors (865934152254).

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

645303143106 is a wasteful number, since it uses less digits than its factorization.

645303143106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76680 (or 76677 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 645303143106 in words is "six hundred forty-five billion, three hundred three million, one hundred forty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 523 901 954 1046 1569 1802 2703 3138 4707 5406 8109 8891 9414 16218 17782 26673 27719 53346 55438 76079 80019 83157 152158 160038 166314 228237 249471 456474 471223 498942 684711 942446 1293343 1369422 1413669 2586686 2827338 3880029 4032187 4241007 7760058 8064374 8482014 11640087 12096561 23280174 24193122 36289683 39789317 68547179 72579366 79578634 119367951 137094358 205641537 238735902 358103853 411283074 616924611 676418389 716207706 1233849222 1352836778 2029255167 2108833801 4058510334 4217667602 6087765501 6326501403 12175531002 12653002806 18979504209 35850174617 37959008418 71700349234 107550523851 215101047702 322651571553 645303143106