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10238232480 = 253572677389
BaseRepresentation
bin10011000100011111…
…10000011110100000
3222102112001002122120
421202033300132200
5131431441414410
64411532504240
7511466353200
oct114217603640
928375032576
1010238232480
114384240663
121b9891b080
13c7216c938
146d1a58400
153edc6a570
hex2623f07a0

10238232480 has 576 divisors, whose sum is σ = 39031009920. Its totient is φ = 2248114176.

The previous prime is 10238232469. The next prime is 10238232491. The reversal of 10238232480 is 8423283201.

It is an interprime number because it is at equal distance from previous prime (10238232469) and next prime (10238232491).

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, 115036276 + ... + 115036364.

It is an arithmetic number, because the mean of its divisors is an integer number (67762170).

Almost surely, 210238232480 is an apocalyptic number.

10238232480 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 10238232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515504960).

10238232480 is an abundant number, since it is smaller than the sum of its proper divisors (28792777440).

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

10238232480 is a wasteful number, since it uses less digits than its factorization.

10238232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 10238232480 in words is "ten billion, two hundred thirty-eight million, two hundred thirty-two thousand, four hundred eighty".