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89890745040 = 243251031212119
BaseRepresentation
bin101001110110111100…
…1111110101011010000
322121000122021222111100
41103231321332223100
52433044012320130
6105143434344400
76331401503655
oct1235571765320
9277018258440
1089890745040
1135138a89238
121550828b100
1386272bb085
1444ca5bbc2c
152511999c60
hex14ede7ead0

89890745040 has 120 divisors (see below), whose sum is σ = 304814240640. Its totient is φ = 23738118912.

The previous prime is 89890745039. The next prime is 89890745041. The reversal of 89890745040 is 4054709898.

It is an interprime number because it is at equal distance from previous prime (89890745039) and next prime (89890745041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89890745041) 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, 531900 + ... + 680219.

It is an arithmetic number, because the mean of its divisors is an integer number (2540118672).

Almost surely, 289890745040 is an apocalyptic number.

89890745040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89890745040 is an abundant number, since it is smaller than the sum of its proper divisors (214923495600).

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

89890745040 is a wasteful number, since it uses less digits than its factorization.

89890745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212241 (or 1212232 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 89890745040 in words is "eighty-nine billion, eight hundred ninety million, seven hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 720 824 927 1030 1236 1545 1648 1854 2060 2472 3090 3708 4120 4635 4944 6180 7416 8240 9270 12360 14832 18540 24720 37080 74160 1212119 2424238 3636357 4848476 6060595 7272714 9696952 10909071 12121190 14545428 18181785 19393904 21818142 24242380 29090856 36363570 43636284 48484760 54545355 58181712 72727140 87272568 96969520 109090710 124848257 145454280 174545136 218181420 249696514 290908560 374544771 436362840 499393028 624241285 749089542 872725680 998786056 1123634313 1248482570 1498179084 1872723855 1997572112 2247268626 2496965140 2996358168 3745447710 4494537252 4993930280 5618171565 5992716336 7490895420 8989074504 9987860560 11236343130 14981790840 17978149008 22472686260 29963581680 44945372520 89890745040