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104522677248 = 2103114371933
BaseRepresentation
bin110000101011000001…
…0010111110000000000
3100222210100212011002110
41201112002113300000
53203030301132443
6120003403415320
710360112045313
oct1412602276000
9328710764073
10104522677248
11403673654a0
1218310524540
139b197c6122
1450b799097a
152abb307233
hex1856097c00

104522677248 has 176 divisors, whose sum is σ = 310989672576. Its totient is φ = 30936514560.

The previous prime is 104522677219. The next prime is 104522677283. The reversal of 104522677248 is 842776225401.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 104522677197 and 104522677206.

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 15 ways as a sum of consecutive naturals, for example, 1417090 + ... + 1489022.

It is an arithmetic number, because the mean of its divisors is an integer number (1766986776).

Almost surely, 2104522677248 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 104522677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155494836288).

104522677248 is an abundant number, since it is smaller than the sum of its proper divisors (206466995328).

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

104522677248 is a wasteful number, since it uses less digits than its factorization.

104522677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72010 (or 71992 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 104522677248 in words is "one hundred four billion, five hundred twenty-two million, six hundred seventy-seven thousand, two hundred forty-eight".