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96145426604436 = 2231122916314008009
BaseRepresentation
bin10101110111000110011001…
…111111111110000110010100
3110121102102011002102202221020
4111313012121333332012110
5100100221313202320221
6540252333233321140
726152164204651456
oct2567063177760624
9417372132382836
1096145426604436
11286a90568a2a00
12a949764a061b0
134185623265c51
1419a566bad02d6
15b1ae6ab58ac6
hex577199ffe194

96145426604436 has 144 divisors (see below), whose sum is σ = 256655879860800. Its totient is φ = 27957742686720.

The previous prime is 96145426604419. The next prime is 96145426604449. The reversal of 96145426604436 is 63440662454169.

96145426604436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 96145426604436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140401 + ... + 13867608.

Almost surely, 296145426604436 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 96145426604436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128327939930400).

96145426604436 is an abundant number, since it is smaller than the sum of its proper divisors (160510453256364).

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

96145426604436 is a wasteful number, since it uses less digits than its factorization.

96145426604436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14008230 (or 14008217 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 60.

The spelling of 96145426604436 in words is "ninety-six trillion, one hundred forty-five billion, four hundred twenty-six million, six hundred four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 163 174 242 319 326 348 363 484 489 638 652 726 957 978 1276 1452 1793 1914 1956 3509 3586 3828 4727 5379 7018 7172 9454 10527 10758 14036 14181 18908 19723 21054 21516 28362 39446 42108 51997 56724 59169 78892 103994 118338 155991 207988 236676 311982 571967 623964 1143934 1715901 2287868 3431802 6863604 14008009 28016018 42024027 56032036 84048054 154088099 168096108 308176198 406232261 462264297 616352396 812464522 924528594 1218696783 1624929044 1694969089 1849057188 2283305467 2437393566 3389938178 4468554871 4566610934 4874787132 5084907267 6779876356 6849916401 8937109742 9133221868 10169814534 13405664613 13699832802 17874219484 20339629068 25116360137 26811329226 27399665604 49154103581 50232720274 53622658452 66215858543 75349080411 98308207162 100465440548 132431717086 147462310743 150698160822 196616414324 198647575629 264863434172 276279961507 294924621486 301396321644 397295151258 552559923014 589849242972 728374443973 794590302516 828839884521 1105119846028 1456748887946 1657679769042 2185123331919 2913497775892 3315359538084 4370246663838 8012118883703 8740493327676 16024237767406 24036356651109 32048475534812 48072713302218 96145426604436