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4500073088 = 27719318527
BaseRepresentation
bin1000011000011100…
…11010101010000000
3102121121200101202122
410030032122222000
533204004314323
62022312103412
7216341663420
oct41416325200
912547611678
104500073088
1119aa1a0575
12a57094b68
13569400b54
14309928480
151b5104ec8
hex10c39aa80

4500073088 has 128 divisors (see below), whose sum is σ = 11134156800. Its totient is φ = 1767951360.

The previous prime is 4500073063. The next prime is 4500073133. The reversal of 4500073088 is 8803700054.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523481 + ... + 532007.

It is an arithmetic number, because the mean of its divisors is an integer number (86985600).

Almost surely, 24500073088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567078400).

4500073088 is an abundant number, since it is smaller than the sum of its proper divisors (6634083712).

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

4500073088 is a wasteful number, since it uses less digits than its factorization.

4500073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 4500073088 is about 67082.5840885695. The cubic root of 4500073088 is about 1650.9725625937.

The spelling of 4500073088 in words is "four billion, five hundred million, seventy-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 266 304 434 448 496 532 589 608 868 896 992 1064 1178 1216 1736 1984 2128 2356 2432 3472 3968 4123 4256 4712 6944 8246 8512 8527 9424 13888 16492 17024 17054 18848 27776 32984 34108 37696 59689 65968 68216 75392 119378 131936 136432 162013 238756 263872 264337 272864 324026 477512 527744 528674 545728 648052 955024 1057348 1091456 1134091 1296104 1850359 1910048 2114696 2268182 2592208 3700718 3820096 4229392 4536364 5022403 5184416 7401436 7640192 8458784 9072728 10044806 10368832 14802872 16917568 18145456 20089612 20737664 29605744 33835136 35156821 36290912 40179224 59211488 70313642 72581824 80358448 118422976 140627284 145163648 160716896 236845952 281254568 321433792 562509136 642867584 1125018272 2250036544 4500073088