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146540460010 = 257191091010833
BaseRepresentation
bin1000100001111001111…
…1011111011111101010
3112000020122201200011211
42020132133133133222
54400103324210020
6151153022343334
713405260233560
oct2103637373752
9460218650154
10146540460010
11571692a659a
122449812ab4a
1310a8490ab89
147142125a30
153c2a01585a
hex221e7df7ea

146540460010 has 64 divisors (see below), whose sum is σ = 320232211200. Its totient is φ = 47161377792.

The previous prime is 146540460007. The next prime is 146540460041. The reversal of 146540460010 is 10064045641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360447 + ... + 650386.

It is an arithmetic number, because the mean of its divisors is an integer number (5003628300).

Almost surely, 2146540460010 is an apocalyptic number.

146540460010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146540460010 is an abundant number, since it is smaller than the sum of its proper divisors (173691751190).

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

146540460010 is a wasteful number, since it uses less digits than its factorization.

146540460010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010975.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 146540460010 in words is "one hundred forty-six billion, five hundred forty million, four hundred sixty thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 109 133 190 218 266 545 665 763 1090 1330 1526 2071 3815 4142 7630 10355 14497 20710 28994 72485 144970 1010833 2021666 5054165 7075831 10108330 14151662 19205827 35379155 38411654 70758310 96029135 110180797 134440789 192058270 220361594 268881578 550903985 672203945 771265579 1101807970 1344407890 1542531158 2093435143 3856327895 4186870286 7712655790 10467175715 14654046001 20934351430 29308092002 73270230005 146540460010