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146429438067 = 33114367171131
BaseRepresentation
bin1000100001011111011…
…1111110100001110011
3111222221220211011201000
42020113313332201303
54344341414004232
6151134015013043
713402441454463
oct2102767764163
9458856734630
10146429438067
1157111667120
1224466b0a183
1310a67908613
1471314a5ba3
153c203d527c
hex2217dfe873

146429438067 has 64 divisors (see below), whose sum is σ = 245772933120. Its totient is φ = 85387024800.

The previous prime is 146429438063. The next prime is 146429438123. The reversal of 146429438067 is 760834924641.

146429438067 is a `hidden beast` number, since 1 + 46 + 429 + 43 + 80 + 67 = 666.

It is not a de Polignac number, because 146429438067 - 22 = 146429438063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146429438063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770092 + ... + 941222.

It is an arithmetic number, because the mean of its divisors is an integer number (3840202080).

Almost surely, 2146429438067 is an apocalyptic number.

146429438067 is a deficient number, since it is larger than the sum of its proper divisors (99343495053).

146429438067 is a wasteful number, since it uses less digits than its factorization.

146429438067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171261 (or 171255 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 146429438067 in words is "one hundred forty-six billion, four hundred twenty-nine million, four hundred thirty-eight thousand, sixty-seven".

Divisors: 1 3 9 11 27 33 43 67 99 129 201 297 387 473 603 737 1161 1419 1809 2211 2881 4257 6633 8643 12771 19899 25929 31691 77787 95073 171131 285219 513393 855657 1540179 1882441 4620537 5647323 7358633 11465777 16941969 22075899 34397331 50825907 66227697 80944963 103191993 126123547 198683091 242834889 309575979 378370641 493028411 728504667 1135111923 1479085233 2185514001 3405335769 4437255699 5423312521 13311767097 16269937563 48809812689 146429438067