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10554192480 = 2535132277451
BaseRepresentation
bin10011101010001010…
…00011001001100000
31000020112120112021210
421311011003021200
5133103333124410
64503140550120
7522354104316
oct116505031140
930215515253
1010554192480
114526626027
1220666b2340
13cc2768010
147219c40b6
1541b87d220
hex275143260

10554192480 has 192 divisors, whose sum is σ = 35965617408. Its totient is φ = 2586163200.

The previous prime is 10554192463. The next prime is 10554192497. The reversal of 10554192480 is 8429145501.

It is an interprime number because it is at equal distance from previous prime (10554192463) and next prime (10554192497).

It is a super-2 number, since 2×105541924802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 1412755 + ... + 1420205.

It is an arithmetic number, because the mean of its divisors is an integer number (187320924).

Almost surely, 210554192480 is an apocalyptic number.

10554192480 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 10554192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982808704).

10554192480 is an abundant number, since it is smaller than the sum of its proper divisors (25411424928).

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

10554192480 is a wasteful number, since it uses less digits than its factorization.

10554192480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 10554192480 in words is "ten billion, five hundred fifty-four million, one hundred ninety-two thousand, four hundred eighty".