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45315931000 = 23531719140297
BaseRepresentation
bin101010001101000010…
…100011101101111000
311022222010220210220211
4222031002203231320
51220301334243000
632452353400504
73162654025624
oct521502435570
9138863823824
1045315931000
111824473074a
128948269134
1343724c9272
14229c5cc184
1512a35477ba
hexa8d0a3b78

45315931000 has 128 divisors (see below), whose sum is σ = 118187035200. Its totient is φ = 16162099200.

The previous prime is 45315930997. The next prime is 45315931013. The reversal of 45315931000 is 13951354.

It is a happy number.

It is a super-2 number, since 2×453159310002 (a number of 22 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 252852 + ... + 393148.

Almost surely, 245315931000 is an apocalyptic number.

45315931000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45315931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59093517600).

45315931000 is an abundant number, since it is smaller than the sum of its proper divisors (72871104200).

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

45315931000 is a wasteful number, since it uses less digits than its factorization.

45315931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140354 (or 140340 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 45315931000 in words is "forty-five billion, three hundred fifteen million, nine hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 136 152 170 190 200 250 323 340 380 425 475 500 646 680 760 850 950 1000 1292 1615 1700 1900 2125 2375 2584 3230 3400 3800 4250 4750 6460 8075 8500 9500 12920 16150 17000 19000 32300 40375 64600 80750 140297 161500 280594 323000 561188 701485 1122376 1402970 2385049 2665643 2805940 3507425 4770098 5331286 5611880 7014850 9540196 10662572 11925245 13328215 14029700 17537125 19080392 21325144 23850490 26656430 28059400 35074250 45315931 47700980 53312860 59626225 66641075 70148500 90631862 95401960 106625720 119252450 133282150 140297000 181263724 226579655 238504900 266564300 298131125 333205375 362527448 453159310 477009800 533128600 596262250 666410750 906318620 1132898275 1192524500 1332821500 1812637240 2265796550 2385049000 2665643000 4531593100 5664491375 9063186200 11328982750 22657965500 45315931000