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104773139712 = 28364113693
BaseRepresentation
bin110000110010011110…
…1110011110100000000
3101000102211010222000000
41201210331303310000
53204033410432322
6120044312000000
710366242664503
oct1414475636400
9330384128000
10104773139712
114048578466a
1218380390000
139b5966b177
1450dcd4b13a
152ad32cd3ac
hex1864f73d00

104773139712 has 252 divisors, whose sum is σ = 321233386404. Its totient is φ = 34070077440.

The previous prime is 104773139707. The next prime is 104773139759. The reversal of 104773139712 is 217931377401.

It can be written as a sum of positive squares in 2 ways, for example, as 62132541696 + 42640598016 = 249264^2 + 206496^2 .

It is a super-2 number, since 2×1047731397122 (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 27 ways as a sum of consecutive naturals, for example, 7644738 + ... + 7658430.

Almost surely, 2104773139712 is an apocalyptic number.

104773139712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104773139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160616693202).

104773139712 is an abundant number, since it is smaller than the sum of its proper divisors (216460246692).

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

104773139712 is an frugal number, since it uses more digits than its factorization.

104773139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 104773139712 in words is "one hundred four billion, seven hundred seventy-three million, one hundred thirty-nine thousand, seven hundred twelve".