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145763128512 = 26321811398127
BaseRepresentation
bin1000011111000000101…
…0001101010011000000
3111221020111001010211100
42013300022031103000
54342010330103022
6150543533414400
713350101102151
oct2076012152300
9457214033740
10145763128512
11568aa538971
12242bb93a400
131098c863c01
1470aabbb928
153bd1b6a1ac
hex21f028d4c0

145763128512 has 84 divisors (see below), whose sum is σ = 420112297696. Its totient is φ = 48319234560.

The previous prime is 145763128499. The next prime is 145763128549. The reversal of 145763128512 is 215821367541.

145763128512 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 6 + 3 + 128 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594808 + ... + 803319.

Almost surely, 2145763128512 is an apocalyptic number.

145763128512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145763128512 is an abundant number, since it is smaller than the sum of its proper divisors (274349169184).

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

145763128512 is a wasteful number, since it uses less digits than its factorization.

145763128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398326 (or 1398313 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 145763128512 in words is "one hundred forty-five billion, seven hundred sixty-three million, one hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 104256 1398127 2796254 4194381 5592508 8388762 11185016 12583143 16777524 22370032 25166286 33555048 44740064 50332572 67110096 89480128 100665144 134220192 201330288 253060987 268440384 402660576 506121974 759182961 805321152 1012243948 1518365922 2024487896 2277548883 3036731844 4048975792 4555097766 6073463688 8097951584 9110195532 12146927376 16195903168 18220391064 24293854752 36440782128 48587709504 72881564256 145763128512