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89961810912 = 25322551122449
BaseRepresentation
bin101001111001000100…
…1000100101111100000
322121012121000111112200
41103302021010233200
52433220210422122
6105154453453200
76333223530051
oct1236211045740
9277177014480
1089961810912
1135175108066
1215528041200
138638c40a9c
1444d5bda728
152517d365ac
hex14f2244be0

89961810912 has 72 divisors (see below), whose sum is σ = 255931275600. Its totient is φ = 29975270400.

The previous prime is 89961810881. The next prime is 89961810923. The reversal of 89961810912 is 21901816998.

89961810912 is a `hidden beast` number, since 8 + 9 + 9 + 618 + 1 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673464 + ... + 795912.

It is an arithmetic number, because the mean of its divisors is an integer number (3554601050).

Almost surely, 289961810912 is an apocalyptic number.

It is an amenable number.

89961810912 is an abundant number, since it is smaller than the sum of its proper divisors (165969464688).

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

89961810912 is a wasteful number, since it uses less digits than its factorization.

89961810912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125016 (or 125005 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 89961810912 in words is "eighty-nine billion, nine hundred sixty-one million, eight hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2551 5102 7653 10204 15306 20408 22959 30612 40816 45918 61224 81632 91836 122448 122449 183672 244896 244898 367344 367347 489796 734688 734694 979592 1102041 1469388 1959184 2204082 2938776 3918368 4408164 5877552 8816328 11755104 17632656 35265312 312367399 624734798 937102197 1249469596 1874204394 2498939192 2811306591 3748408788 4997878384 5622613182 7496817576 9995756768 11245226364 14993635152 22490452728 29987270304 44980905456 89961810912