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10148255040 = 26357112347127
BaseRepresentation
bin10010111001110001…
…00001010101000000
3222012020201202210210
421130320201111000
5131240423130130
64355000154120
7506324513250
oct113470412500
928166652723
1010148255040
114338475240
121b72768940
13c59628051
146c3b15960
153e5de55b0
hex25ce21540

10148255040 has 896 divisors, whose sum is σ = 43146805248. Its totient is φ = 1958584320.

The previous prime is 10148255027. The next prime is 10148255069. The reversal of 10148255040 is 4055284101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10148254989 and 10148255007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79907457 + ... + 79907583.

Almost surely, 210148255040 is an apocalyptic number.

10148255040 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 10148255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573402624).

10148255040 is an abundant number, since it is smaller than the sum of its proper divisors (32998550208).

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

10148255040 is a wasteful number, since it uses less digits than its factorization.

10148255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 10148255040 in words is "ten billion, one hundred forty-eight million, two hundred fifty-five thousand, forty".