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153896029056 = 273671121419
BaseRepresentation
bin1000111101010011101…
…0110000101110000000
3112201020021112022000000
42033110322300232000
510010134340412211
6154410542000000
714055454443360
oct2172472605600
9481207468000
10153896029056
115a2a3329480
12259ab576000
1311687799ab3
14763cd9c9a0
15400ab68656
hex23d4eb0b80

153896029056 has 448 divisors, whose sum is σ = 573127228800. Its totient is φ = 39971128320.

The previous prime is 153896029051. The next prime is 153896029093. The reversal of 153896029056 is 650920698351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1538960290562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 153896028993 and 153896029011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153896029051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7174315 + ... + 7195733.

It is an arithmetic number, because the mean of its divisors is an integer number (1279301850).

Almost surely, 2153896029056 is an apocalyptic number.

153896029056 is a gapful number since it is divisible by the number (16) 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 153896029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286563614400).

153896029056 is an abundant number, since it is smaller than the sum of its proper divisors (419231199744).

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

153896029056 is an equidigital number, since it uses as much as digits as its factorization.

153896029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21469 (or 21442 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 153896029056 in words is "one hundred fifty-three billion, eight hundred ninety-six million, twenty-nine thousand, fifty-six".