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90132861056 = 277247305759
BaseRepresentation
bin101001111110001010…
…1100101000010000000
322121122111212202020012
41103330111211002000
52434043003023211
6105223444004052
76340401451400
oct1237425450200
9277574782205
1090132861056
1135252717617
1215575390628
1386655000a4
144510804800
152527d72d8b
hex14fc565080

90132861056 has 96 divisors (see below), whose sum is σ = 213322636800. Its totient is φ = 37806365184.

The previous prime is 90132861047. The next prime is 90132861073. The reversal of 90132861056 is 65016823109.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141905 + ... + 447663.

It is an arithmetic number, because the mean of its divisors is an integer number (2222110800).

Almost surely, 290132861056 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 90132861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106661318400).

90132861056 is an abundant number, since it is smaller than the sum of its proper divisors (123189775744).

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

90132861056 is a wasteful number, since it uses less digits than its factorization.

90132861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305834 (or 305815 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 90132861056 in words is "ninety billion, one hundred thirty-two million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 329 376 392 448 658 752 784 896 1316 1504 1568 2303 2632 3008 3136 4606 5264 6016 6272 9212 10528 18424 21056 36848 42112 73696 147392 294784 305759 611518 1223036 2140313 2446072 4280626 4892144 8561252 9784288 14370673 14982191 17122504 19568576 28741346 29964382 34245008 39137152 57482692 59928764 68490016 100594711 114965384 119857528 136980032 201189422 229930768 239715056 273960064 402378844 459861536 479430112 704162977 804757688 919723072 958860224 1408325954 1609515376 1839446144 1917720448 2816651908 3219030752 5633303816 6438061504 11266607632 12876123008 22533215264 45066430528 90132861056