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89542142016 = 2635948716231
BaseRepresentation
bin101001101100100100…
…0001010100001000000
322120010100100010001020
41103121020022201000
52431340242021031
6105045102505440
76316636435425
oct1233110124100
9276110303036
1089542142016
1134a7a228668
121542b595280
1385a00039b2
144496195d4c
1524e108a096
hex14d920a840

89542142016 has 112 divisors (see below), whose sum is σ = 241438663680. Its totient is φ = 29279439360.

The previous prime is 89542142009. The next prime is 89542142017. The reversal of 89542142016 is 61024124598.

It is not an unprimeable number, because it can be changed into a prime (89542142017) 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, 5508621 + ... + 5524851.

Almost surely, 289542142016 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 89542142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120719331840).

89542142016 is an abundant number, since it is smaller than the sum of its proper divisors (151896521664).

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

89542142016 is a wasteful number, since it uses less digits than its factorization.

89542142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 89542142016 in words is "eighty-nine billion, five hundred forty-two million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 487 708 944 974 1416 1461 1888 1948 2832 2922 3776 3896 5664 5844 7792 11328 11688 15584 16231 23376 28733 31168 32462 46752 48693 57466 64924 86199 93504 97386 114932 129848 172398 194772 229864 259696 344796 389544 459728 519392 689592 779088 919456 957629 1038784 1379184 1558176 1838912 1915258 2758368 2872887 3116352 3830516 5516736 5745774 7661032 7904497 11491548 15322064 15808994 22983096 23713491 30644128 31617988 45966192 47426982 61288256 63235976 91932384 94853964 126471952 183864768 189707928 252943904 379415856 466365323 505887808 758831712 932730646 1399095969 1517663424 1865461292 2798191938 3730922584 5596383876 7461845168 11192767752 14923690336 22385535504 29847380672 44771071008 89542142016