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10080046080 = 210335137179
BaseRepresentation
bin10010110001101000…
…10100110000000000
3222000111101101201000
421120310110300000
5131120442433310
64344122212000
7504535656306
oct113064246000
928014341630
1010080046080
114302a178a5
121b53954000
13c48465810
146b8a3c276
153dee204c0
hex258d14c00

10080046080 has 704 divisors, whose sum is σ = 39616819200. Its totient is φ = 2415329280.

The previous prime is 10080046073. The next prime is 10080046091. The reversal of 10080046080 is 8064008001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127595481 + ... + 127595559.

Almost surely, 210080046080 is an apocalyptic number.

10080046080 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 10080046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808409600).

10080046080 is an abundant number, since it is smaller than the sum of its proper divisors (29536773120).

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

10080046080 is a wasteful number, since it uses less digits than its factorization.

10080046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10080046080 in words is "ten billion, eighty million, forty-six thousand, eighty".