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9001533984 = 253313024709
BaseRepresentation
bin10000110001000100…
…01000001000100000
3212020022222022020120
420120202020020200
5121413343041414
64045114040240
7436031530212
oct103042101040
925208868216
109001533984
1138aa149793
1218b2719080
13b05b99591
146156d45b2
1537a3d12a9
hex218888220

9001533984 has 48 divisors (see below), whose sum is σ = 24391261440. Its totient is φ = 2903719680.

The previous prime is 9001533977. The next prime is 9001534013. The reversal of 9001533984 is 4893351009.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×90015339842 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509379 + ... + 1515330.

It is an arithmetic number, because the mean of its divisors is an integer number (508151280).

Almost surely, 29001533984 is an apocalyptic number.

It is an amenable number.

9001533984 is an abundant number, since it is smaller than the sum of its proper divisors (15389727456).

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

9001533984 is a wasteful number, since it uses less digits than its factorization.

9001533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024753 (or 3024745 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 9001533984 is about 94876.4142661389. The cubic root of 9001533984 is about 2080.2019946829.

The spelling of 9001533984 in words is "nine billion, one million, five hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3024709 6049418 9074127 12098836 18148254 24197672 36296508 48395344 72593016 93765979 96790688 145186032 187531958 281297937 290372064 375063916 562595874 750127832 1125191748 1500255664 2250383496 3000511328 4500766992 9001533984