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8640375750 = 232538834349
BaseRepresentation
bin10000000110000000…
…11010101111000110
3211022011101120021200
420003000122233012
5120143414011000
63545213123330
7424054660566
oct100300325706
924264346250
108640375750
1137342a3206
121811789546
13a79107596
145bd760da6
15358841500
hex20301abc6

8640375750 has 96 divisors (see below), whose sum is σ = 23395413600. Its totient is φ = 2300961600.

The previous prime is 8640375727. The next prime is 8640375787. The reversal of 8640375750 is 575730468.

8640375750 is a `hidden beast` number, since 8 + 6 + 40 + 37 + 575 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8640375696 and 8640375705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984576 + ... + 1988924.

It is an arithmetic number, because the mean of its divisors is an integer number (243702225).

Almost surely, 28640375750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640375750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697706800).

8640375750 is an abundant number, since it is smaller than the sum of its proper divisors (14755037850).

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

8640375750 is a wasteful number, since it uses less digits than its factorization.

8640375750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 8640375750 is about 92953.6215001869. The cubic root of 8640375750 is about 2052.0008820374. Note that the first 3 decimals are identical.

The spelling of 8640375750 in words is "eight billion, six hundred forty million, three hundred seventy-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 883 1125 1766 2250 2649 4349 4415 5298 7947 8698 8830 13047 13245 15894 21745 22075 26094 26490 39141 39735 43490 44150 65235 66225 78282 79470 108725 110375 130470 132450 195705 198675 217450 220750 326175 331125 391410 397350 543625 652350 662250 978525 993375 1087250 1630875 1957050 1986750 3261750 3840167 4892625 7680334 9785250 11520501 19200835 23041002 34561503 38401670 57602505 69123006 96004175 115205010 172807515 192008350 288012525 345615030 480020875 576025050 864037575 960041750 1440062625 1728075150 2880125250 4320187875 8640375750