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10231928448 = 273717312233
BaseRepresentation
bin10011000011101111…
…01101011010000000
3222102002011211010220
421201313231122000
5131423333202243
64411145423040
7511361646120
oct114167553200
928362154126
1010231928448
114380725315
121b9679aa80
13c70a73441
146d0c96c80
153ed422783
hex261ded680

10231928448 has 384 divisors, whose sum is σ = 34129330560. Its totient is φ = 2651258880.

The previous prime is 10231928429. The next prime is 10231928453. The reversal of 10231928448 is 84482913201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43913740 + ... + 43913972.

It is an arithmetic number, because the mean of its divisors is an integer number (88878465).

Almost surely, 210231928448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064665280).

10231928448 is an abundant number, since it is smaller than the sum of its proper divisors (23897402112).

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

10231928448 is a wasteful number, since it uses less digits than its factorization.

10231928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10231928448 in words is "ten billion, two hundred thirty-one million, nine hundred twenty-eight thousand, four hundred forty-eight".