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89016313008 = 24373164313291
BaseRepresentation
bin101001011100111001…
…0010010010010110000
322111202200220020020210
41102321302102102300
52424301134004013
6104521000304120
76300623114310
oct1227162222260
9274680806223
1089016313008
113482a42a537
1215303472040
1385180a727c
1444463d9440
1524aed1dcc3
hex14b9c924b0

89016313008 has 160 divisors (see below), whose sum is σ = 271730163712. Its totient is φ = 24572678400.

The previous prime is 89016313003. The next prime is 89016313031. The reversal of 89016313008 is 80031361098.

It is not an unprimeable number, because it can be changed into a prime (89016313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6690843 + ... + 6704133.

Almost surely, 289016313008 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 89016313008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135865081856).

89016313008 is an abundant number, since it is smaller than the sum of its proper divisors (182713850704).

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

89016313008 is a wasteful number, since it uses less digits than its factorization.

89016313008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 89016313008 in words is "eighty-nine billion, sixteen million, three hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 643 651 744 868 1286 1302 1488 1736 1929 2572 2604 3472 3858 4501 5144 5208 7716 9002 10288 10416 13291 13503 15432 18004 19933 26582 27006 30864 36008 39866 39873 53164 54012 59799 72016 79732 79746 93037 106328 108024 119598 139531 159464 159492 186074 212656 216048 239196 279062 279111 318928 318984 372148 412021 418593 478392 558124 558222 637968 744296 824042 837186 956784 1116248 1116444 1236063 1488592 1648084 1674372 2232496 2232888 2472126 2884147 3296168 3348744 4465776 4944252 5768294 6592336 6697488 8546113 8652441 9888504 11536588 17092226 17304882 19777008 23073176 25638339 34184452 34609764 46146352 51276678 59822791 68368904 69219528 102553356 119645582 136737808 138439056 179468373 205106712 239291164 264929503 358936746 410213424 478582328 529859006 717873492 794788509 957164656 1059718012 1435746984 1589577018 1854506521 2119436024 2871493968 3179154036 3709013042 4238872048 5563519563 6358308072 7418026084 11127039126 12716616144 14836052168 22254078252 29672104336 44508156504 89016313008