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146590718064 = 2437436281899
BaseRepresentation
bin1000100010000101111…
…1001101100001110000
3112000101011022001021020
42020201133031201300
54400204210434224
6151202015455440
713406440354530
oct2104137154160
9460334261236
10146590718064
115719470317a
12244b0b27580
1310a9215687b
147148a894c0
153c2e641c79
hex22217cd870

146590718064 has 40 divisors (see below), whose sum is σ = 432791644800. Its totient is φ = 41883062208.

The previous prime is 146590718051. The next prime is 146590718083. The reversal of 146590718064 is 460817095641.

It is a junction number, because it is equal to n+sod(n) for n = 146590717998 and 146590718016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218140614 + ... + 218141285.

It is an arithmetic number, because the mean of its divisors is an integer number (10819791120).

Almost surely, 2146590718064 is an apocalyptic number.

146590718064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146590718064 is an abundant number, since it is smaller than the sum of its proper divisors (286200926736).

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

146590718064 is a wasteful number, since it uses less digits than its factorization.

146590718064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436281917 (or 436281911 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 146590718064 in words is "one hundred forty-six billion, five hundred ninety million, seven hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 436281899 872563798 1308845697 1745127596 2617691394 3053973293 3490255192 5235382788 6107946586 6980510384 9161919879 10470765576 12215893172 18323839758 20941531152 24431786344 36647679516 48863572688 73295359032 146590718064