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5007712866800 = 245272707660683
BaseRepresentation
bin100100011011111001011…
…1100100101000111110000
3122201201210010020100121112
41020313302330211013300
51124021243443214200
614352302254012452
71024536536022230
oct110676274450760
918651703210545
105007712866800
1116608393a9546
1268a640aa7128
132a42c0c92c87
14134535c69cc0
158a3de900535
hex48df2f251f0

5007712866800 has 120 divisors (see below), whose sum is σ = 13754848907136. Its totient is φ = 1716293272320.

The previous prime is 5007712866781. The next prime is 5007712866803. The reversal of 5007712866800 is 86682177005.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007712866803) 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, 7249259 + ... + 7909941.

Almost surely, 25007712866800 is an apocalyptic number.

5007712866800 is a gapful number since it is divisible by the number (50) 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 5007712866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877424453568).

5007712866800 is an abundant number, since it is smaller than the sum of its proper divisors (8747136040336).

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

5007712866800 is a wasteful number, since it uses less digits than its factorization.

5007712866800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663415 (or 663404 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 5007712866800 in words is "five trillion, seven billion, seven hundred twelve million, eight hundred sixty-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2707 2800 5414 10828 13535 18949 21656 27070 37898 43312 54140 67675 75796 94745 108280 135350 151592 189490 216560 270700 303184 378980 473725 541400 660683 757960 947450 1082800 1321366 1515920 1894900 2642732 3303415 3789800 4624781 5285464 6606830 7579600 9249562 10570928 13213660 16517075 18499124 23123905 26427320 33034150 36998248 46247810 52854640 66068300 73996496 92495620 115619525 132136600 184991240 231239050 264273200 369982480 462478100 924956200 1788468881 1849912400 3576937762 7153875524 8942344405 12519282167 14307751048 17884688810 25038564334 28615502096 35769377620 44711722025 50077128668 62596410835 71538755240 89423444050 100154257336 125192821670 143077510480 178846888100 200308514672 250385643340 312982054175 357693776200 500771286680 625964108350 715387552400 1001542573360 1251928216700 2503856433400 5007712866800