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10040478048360 = 23325597915738113
BaseRepresentation
bin1001001000011011101100…
…1000001010000001101000
31022112212020011211011101200
42102012323020022001220
52304000344340021420
633204310522044200
72054254256154144
oct222067310120150
938485204734350
1010040478048360
113221163115951
121161ab3949660
1357aa75278326
14269d66dba224
151262988a8b90
hex921bb20a068

10040478048360 has 384 divisors, whose sum is σ = 33819619392000. Its totient is φ = 2582142271488.

The previous prime is 10040478048353. The next prime is 10040478048421. The reversal of 10040478048360 is 6384087404001.

10040478048360 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 4 + 78 + 0 + 483 + 60 = 666.

It is a super-2 number, since 2×100404780483602 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263420664 + ... + 263458776.

It is an arithmetic number, because the mean of its divisors is an integer number (88071925500).

Almost surely, 210040478048360 is an apocalyptic number.

10040478048360 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 10040478048360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909809696000).

10040478048360 is an abundant number, since it is smaller than the sum of its proper divisors (23779141343640).

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

10040478048360 is a wasteful number, since it uses less digits than its factorization.

10040478048360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38425 (or 38418 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10040478048360 in words is "ten trillion, forty billion, four hundred seventy-eight million, forty-eight thousand, three hundred sixty".