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139463216640 = 2933511316197
BaseRepresentation
bin1000000111100010100…
…1111100111000000000
3111022222102122110102000
42001320221330320000
54241110040413030
6144022444424000
713035012532146
oct2017051747000
9438872573360
10139463216640
1154167393930
1223041b48000
13101c75cb4c7
146a7021d596
153963a3e860
hex2078a7ce00

139463216640 has 1280 divisors, whose sum is σ = 572843335680. Its totient is φ = 31850496000.

The previous prime is 139463216639. The next prime is 139463216657. The reversal of 139463216640 is 46612364931.

139463216640 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 632 + 1 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1437765072 + ... + 1437765168.

It is an arithmetic number, because the mean of its divisors is an integer number (447533856).

Almost surely, 2139463216640 is an apocalyptic number.

139463216640 is a gapful number since it is divisible by the number (10) 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 139463216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286421667840).

139463216640 is an abundant number, since it is smaller than the sum of its proper divisors (433380119040).

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

139463216640 is a wasteful number, since it uses less digits than its factorization.

139463216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 139463216640 in words is "one hundred thirty-nine billion, four hundred sixty-three million, two hundred sixteen thousand, six hundred forty".