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68924405952 = 263441479677
BaseRepresentation
bin100000000110000110…
…1101111100011000000
320120220110102121020000
41000030031233203000
52112124121442302
651355145120000
74660003532643
oct1001415574300
9216813377200
1068924405952
112725a037376
1211436789000
13666566067c
14349bc2ba5a
151bd5e9b31c
hex100c36f8c0

68924405952 has 280 divisors, whose sum is σ = 210043532160. Its totient is φ = 22334607360.

The previous prime is 68924405929. The next prime is 68924405999. The reversal of 68924405952 is 25950442986.

68924405952 is a `hidden beast` number, since 6 + 8 + 9 + 2 + 4 + 40 + 595 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101808238 + ... + 101808914.

It is an arithmetic number, because the mean of its divisors is an integer number (750155472).

Almost surely, 268924405952 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 68924405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105021766080).

68924405952 is an abundant number, since it is smaller than the sum of its proper divisors (141119126208).

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

68924405952 is a wasteful number, since it uses less digits than its factorization.

68924405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 68924405952 in words is "sixty-eight billion, nine hundred twenty-four million, four hundred five thousand, nine hundred fifty-two".