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9898945632 = 253366117333
BaseRepresentation
bin10010011100000010…
…11110110001100000
3221112212121112121000
421032001132301200
5130233112230012
64314132432000
7500206435542
oct111601366140
927485545530
109898945632
11421a773404
121b03178600
13c19a97aa4
1469c979692
153ce09addc
hex24e05ec60

9898945632 has 96 divisors (see below), whose sum is σ = 28917272160. Its totient is φ = 3294466560.

The previous prime is 9898945631. The next prime is 9898945633. The reversal of 9898945632 is 2365498989.

9898945632 is a `hidden beast` number, since 98 + 98 + 9 + 456 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9898945631) and next prime (9898945633).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 9898945632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9898945631) 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, 562438 + ... + 579770.

It is an arithmetic number, because the mean of its divisors is an integer number (301221585).

Almost surely, 29898945632 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 9898945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458636080).

9898945632 is an abundant number, since it is smaller than the sum of its proper divisors (19018326528).

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

9898945632 is a wasteful number, since it uses less digits than its factorization.

9898945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 17999 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 9898945632 is about 99493.4451710262. The cubic root of 9898945632 is about 2147.1529383758.

The spelling of 9898945632 in words is "nine billion, eight hundred ninety-eight million, nine hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 661 864 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 17333 17847 21152 23796 31728 34666 35694 47592 51999 63456 69332 71388 95184 103998 138664 142776 155997 190368 207996 277328 285552 311994 415992 467991 554656 571104 623988 831984 935982 1247976 1663968 1871964 2495952 3743928 4991904 7487856 11457113 14975712 22914226 34371339 45828452 68742678 91656904 103114017 137485356 183313808 206228034 274970712 309342051 366627616 412456068 549941424 618684102 824912136 1099882848 1237368204 1649824272 2474736408 3299648544 4949472816 9898945632