Search a number
-
+
89525537920 = 2757131537183
BaseRepresentation
bin101001101100000100…
…0110100110010000000
322120002012002112111201
41103120020310302000
52431322014203140
6105043310550544
76316345342120
oct1233010646200
9276065075451
1089525537920
1134a70917775
1215425b08454
13859973c1a0
144493cb2c80
1524de8aa49a
hex14d8234c80

89525537920 has 128 divisors (see below), whose sum is σ = 263411850240. Its totient is φ = 28333338624.

The previous prime is 89525537917. The next prime is 89525537951. The reversal of 89525537920 is 2973552598.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 710352 + ... + 826831.

It is an arithmetic number, because the mean of its divisors is an integer number (2057905080).

Almost surely, 289525537920 is an apocalyptic number.

89525537920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89525537920 is an abundant number, since it is smaller than the sum of its proper divisors (173886312320).

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

89525537920 is a wasteful number, since it uses less digits than its factorization.

89525537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537222 (or 1537210 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 89525537920 in words is "eighty-nine billion, five hundred twenty-five million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 58240 1537183 3074366 6148732 7685915 10760281 12297464 15371830 19983379 21520562 24594928 30743660 39966758 43041124 49189856 53801405 61487320 79933516 86082248 98379712 99916895 107602810 122974640 139883653 159867032 172164496 196759424 199833790 215205620 245949280 279767306 319734064 344328992 399667580 430411240 491898560 559534612 639468128 688657984 699418265 799335160 860822480 983797120 1119069224 1278936256 1377315968 1398836530 1598670320 1721644960 2238138448 2557872512 2797673060 3197340640 3443289920 4476276896 5595346120 6394681280 6886579840 8952553792 11190692240 12789362560 17905107584 22381384480 44762768960 89525537920