Search a number
-
+
89473076496 = 2433716834271
BaseRepresentation
bin101001101010100000…
…0101100110100010000
322112221112101012222000
41103111000230310100
52431220101421441
6105034154314000
76315140413266
oct1232500546420
9275845335860
1089473076496
1134a44245721
1215410428900
13858b90161b
14448ad38436
1524d9e962b6
hex14d502cd10

89473076496 has 160 divisors (see below), whose sum is σ = 260880445440. Its totient is φ = 29354371200.

The previous prime is 89473076489. The next prime is 89473076507. The reversal of 89473076496 is 69467037498.

89473076496 is a `hidden beast` number, since 8 + 9 + 4 + 73 + 0 + 76 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20946841 + ... + 20951111.

It is an arithmetic number, because the mean of its divisors is an integer number (1630502784).

Almost surely, 289473076496 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 89473076496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130440222720).

89473076496 is an abundant number, since it is smaller than the sum of its proper divisors (171407368944).

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

89473076496 is a wasteful number, since it uses less digits than its factorization.

89473076496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 89473076496 in words is "eighty-nine billion, four hundred seventy-three million, seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 683 852 1136 1278 1366 1704 1917 2049 2556 2732 3408 3834 4098 4271 5112 5464 6147 7668 8196 8542 10224 10928 12294 12813 15336 16392 17084 18441 24588 25626 30672 32784 34168 36882 38439 48493 49176 51252 68336 73764 76878 96986 98352 102504 115317 145479 147528 153756 193972 205008 230634 290958 295056 303241 307512 387944 436437 461268 581916 606482 615024 775888 872874 909723 922536 1163832 1212964 1309311 1745748 1819446 1845072 2327664 2425928 2618622 2729169 2917093 3491496 3638892 4851856 5237244 5458338 5834186 6982992 7277784 8187507 8751279 10474488 10916676 11668372 14555568 16375014 17502558 20948976 21833352 23336744 26253837 32750028 35005116 43666704 46673488 52507674 65500056 70010232 78761511 105015348 131000112 140020464 157523022 207113603 210030696 315046044 414227206 420061392 621340809 630092088 828454412 1242681618 1260184176 1656908824 1864022427 2485363236 3313817648 3728044854 4970726472 5592067281 7456089708 9941452944 11184134562 14912179416 22368269124 29824358832 44736538248 89473076496