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89797623072 = 25319211233323
BaseRepresentation
bin101001110100001011…
…0101111110100100000
322120210011001220011120
41103220112233310200
52432401142414242
6105130310412240
76326161126233
oct1235026576440
9276704056146
1089797623072
11350a0465333
12154a1061080
138610c15111
1444bc09b41a
1525087031ec
hex14e85afd20

89797623072 has 96 divisors (see below), whose sum is σ = 249302027520. Its totient is φ = 28222629120.

The previous prime is 89797623037. The next prime is 89797623079. The reversal of 89797623072 is 27032679798.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×897976230722 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89797622997 and 89797623015.

It is not an unprimeable number, because it can be changed into a prime (89797623079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268203 + ... + 501525.

It is an arithmetic number, because the mean of its divisors is an integer number (2596896120).

Almost surely, 289797623072 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 89797623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124651013760).

89797623072 is an abundant number, since it is smaller than the sum of its proper divisors (159504404448).

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

89797623072 is a wasteful number, since it uses less digits than its factorization.

89797623072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233566 (or 233558 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 89797623072 in words is "eighty-nine billion, seven hundred ninety-seven million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 211 228 304 422 456 608 633 844 912 1266 1688 1824 2532 3376 4009 5064 6752 8018 10128 12027 16036 20256 24054 32072 48108 64144 96216 128288 192432 233323 384864 466646 699969 933292 1399938 1866584 2799876 3733168 4433137 5599752 7466336 8866274 11199504 13299411 17732548 22399008 26598822 35465096 49231153 53197644 70930192 98462306 106395288 141860384 147693459 196924612 212790576 295386918 393849224 425581152 590773836 787698448 935391907 1181547672 1575396896 1870783814 2363095344 2806175721 3741567628 4726190688 5612351442 7483135256 11224702884 14966270512 22449405768 29932541024 44898811536 89797623072