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146282637696 = 2731329303413
BaseRepresentation
bin1000100000111100011…
…1111110100110000000
3111222120200120221110020
42020033013332212000
54344041323401241
6151111252333440
713366006622166
oct2101707764600
9458520527406
10146282637696
115704680a8a8
1224425914280
1310a43389bb0
147119bb1236
153c12588b66
hex220f1fe980

146282637696 has 64 divisors (see below), whose sum is σ = 418452751920. Its totient is φ = 45010040832.

The previous prime is 146282637619. The next prime is 146282637707. The reversal of 146282637696 is 696736282641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1462826376962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14646715 + ... + 14656698.

Almost surely, 2146282637696 is an apocalyptic number.

146282637696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146282637696 is an abundant number, since it is smaller than the sum of its proper divisors (272170114224).

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

146282637696 is a wasteful number, since it uses less digits than its factorization.

146282637696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29303443 (or 29303431 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The spelling of 146282637696 in words is "one hundred forty-six billion, two hundred eighty-two million, six hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 29303413 58606826 87910239 117213652 175820478 234427304 351640956 380944369 468854608 703281912 761888738 937709216 1142833107 1406563824 1523777476 1875418432 2285666214 2813127648 3047554952 3750836864 4571332428 5626255296 6095109904 9142664856 11252510592 12190219808 18285329712 24380439616 36570659424 48760879232 73141318848 146282637696