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10134562355424 = 253313233110711827
BaseRepresentation
bin1001001101111010001011…
…1111010011100011100000
31022212212002002001011112000
42103132202333103203200
52312021040430333144
633315430443204000
72064124621446363
oct223364277234340
938785062034460
1010134562355424
113258053273321
121178190516600
135868ba2c9940
142707304d60da
151289535b0769
hex937a2fd38e0

10134562355424 has 768 divisors, whose sum is σ = 34611854376960. Its totient is φ = 2859311093760.

The previous prime is 10134562355381. The next prime is 10134562355431. The reversal of 10134562355424 is 42455326543101.

10134562355424 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 56 + 23 + 554 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10134562355424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 856894599 + ... + 856906425.

It is an arithmetic number, because the mean of its divisors is an integer number (45067518720).

Almost surely, 210134562355424 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 10134562355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305927188480).

10134562355424 is an abundant number, since it is smaller than the sum of its proper divisors (24477292021536).

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

10134562355424 is a wasteful number, since it uses less digits than its factorization.

10134562355424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 10134562355424 its reverse (42455326543101), we get a palindrome (52589888898525).

The spelling of 10134562355424 in words is "ten trillion, one hundred thirty-four billion, five hundred sixty-two million, three hundred fifty-five thousand, four hundred twenty-four".