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45016314136600 = 23521947252051031
BaseRepresentation
bin10100011110001001011010…
…11010011100100000011000
312220101111222022222010221011
422033010231122130200120
521400021402404332400
6235424113105223304
712324215141504302
oct1217045532344030
9186344868863834
1045016314136600
1113386347836954
125070568631b34
131c170355223a1
14b18b30806972
15530e9e7d68ba
hex28f12d69c818

45016314136600 has 96 divisors (see below), whose sum is σ = 112515580684800. Its totient is φ = 16695860227200.

The previous prime is 45016314136597. The next prime is 45016314136603. The reversal of 45016314136600 is 663141361054.

It is an interprime number because it is at equal distance from previous prime (45016314136597) and next prime (45016314136603).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45016314136603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125846916 + ... + 126204115.

It is an arithmetic number, because the mean of its divisors is an integer number (1172037298800).

Almost surely, 245016314136600 is an apocalyptic number.

45016314136600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45016314136600 is an abundant number, since it is smaller than the sum of its proper divisors (67499266548200).

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

45016314136600 is a wasteful number, since it uses less digits than its factorization.

45016314136600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252051113 (or 252051104 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 45016314136600 its reverse (663141361054), we get a palindrome (45679455497654).

The spelling of 45016314136600 in words is "forty-five trillion, sixteen billion, three hundred fourteen million, one hundred thirty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 152 188 190 200 235 376 380 470 475 760 893 940 950 1175 1786 1880 1900 2350 3572 3800 4465 4700 7144 8930 9400 17860 22325 35720 44650 89300 178600 252051031 504102062 1008204124 1260255155 2016408248 2520510310 4788969589 5041020620 6301275775 9577939178 10082041240 11846398457 12602551550 19155878356 23692796914 23944847945 25205103100 38311756712 47385593828 47889695890 50410206200 59231992285 94771187656 95779391780 118463984570 119724239725 191558783560 225081570683 236927969140 239448479450 296159961425 450163141366 473855938280 478896958900 592319922850 900326282732 957793917800 1125407853415 1184639845700 1800652565464 2250815706830 2369279691400 4501631413660 5627039267075 9003262827320 11254078534150 22508157068300 45016314136600