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146572947663 = 34133113272713
BaseRepresentation
bin1000100010000001101…
…1011011000011001111
3112000022220212012212020
42020200123123003033
54400140133311123
6151200142541223
713406133333012
oct2104033330317
9460286765766
10146572947663
1157185675a9a
12244a6b97813
1310a8b57423c
147146581379
153c2ccd17e3
hex22206db0cf

146572947663 has 32 divisors (see below), whose sum is σ = 201027412992. Its totient is φ = 94937356800.

The previous prime is 146572947613. The next prime is 146572947667. The reversal of 146572947663 is 366749275641.

It is not a de Polignac number, because 146572947663 - 212 = 146572943567 is a prime.

It is a super-4 number, since 4×1465729476634 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146572947597 and 146572947606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146572947667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54024795 + ... + 54027507.

It is an arithmetic number, because the mean of its divisors is an integer number (6282106656).

Almost surely, 2146572947663 is an apocalyptic number.

146572947663 is a deficient number, since it is larger than the sum of its proper divisors (54454465329).

146572947663 is a wasteful number, since it uses less digits than its factorization.

146572947663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415.

The product of its digits is 45722880, while the sum is 60.

The spelling of 146572947663 in words is "one hundred forty-six billion, five hundred seventy-two million, nine hundred forty-seven thousand, six hundred sixty-three".

Divisors: 1 3 41 123 331 993 1327 2713 3981 8139 13571 40713 54407 111233 163221 333699 439237 898003 1317711 2694009 3600151 10800453 18008717 36818123 54026151 110454369 147606191 442818573 1191649981 3574949943 48857649221 146572947663