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146670465463104 = 2631195372871189
BaseRepresentation
bin100001010110010101100000…
…111111100011001101000000
3201020022120002220211120012110
4201112111200333203031000
5123211022103124304404
61235535252011455320
742615406602146232
oct4126254077431500
9636276086746173
10146670465463104
1142808660076610
1214549876157540
1363abc723c739b
142830c61adc252
1511e537e6e7b89
hex856560fe3340

146670465463104 has 112 divisors (see below), whose sum is σ = 423788526624960. Its totient is φ = 44398957424640.

The previous prime is 146670465463103. The next prime is 146670465463163. The reversal of 146670465463104 is 401364564076641.

It is a happy number.

It is a super-2 number, since 2×1466704654631042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146670465463103) 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, 34422859 + ... + 38448330.

It is an arithmetic number, because the mean of its divisors is an integer number (3783826130580).

Almost surely, 2146670465463104 is an apocalyptic number.

It is an amenable number.

146670465463104 is an abundant number, since it is smaller than the sum of its proper divisors (277118061161856).

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

146670465463104 is a wasteful number, since it uses less digits than its factorization.

146670465463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72872168 (or 72872158 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 146670465463104 in words is "one hundred forty-six trillion, six hundred seventy billion, four hundred sixty-five million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 953 1056 1906 2112 2859 3812 5718 7624 10483 11436 15248 20966 22872 30496 31449 41932 45744 60992 62898 83864 91488 125796 167728 182976 251592 335456 503184 670912 1006368 2012736 72871189 145742378 218613567 291484756 437227134 582969512 801583079 874454268 1165939024 1603166158 1748908536 2331878048 2404749237 3206332316 3497817072 4663756096 4809498474 6412664632 6995634144 9618996948 12825329264 13991268288 19237993896 25650658528 38475987792 51301317056 69446243117 76951975584 138892486234 153903951168 208338729351 277784972468 416677458702 555569944936 763908674287 833354917404 1111139889872 1527817348574 1666709834808 2222279779744 2291726022861 3055634697148 3333419669616 4444559559488 4583452045722 6111269394296 6666839339232 9166904091444 12222538788592 13333678678464 18333808182888 24445077577184 36667616365776 48890155154368 73335232731552 146670465463104