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23074241404928 = 213753137151367
BaseRepresentation
bin1010011111100011000111…
…11101100110000000000000
310000200212122120000220201212
411033301203331212000000
511011022021244424203
6121024054332345252
74601026132555460
oct517614375460000
9100625576026655
1023074241404928
11739680480210a
122707b38915228
13cb4b78ba312c
1459ab2919dba0
152a03322481d8
hex14fc63f66000

23074241404928 has 448 divisors, whose sum is σ = 54632071876608. Its totient is φ = 9541700812800.

The previous prime is 23074241404927. The next prime is 23074241404937. The reversal of 23074241404928 is 82940414247032.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23074241404927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62872592201 + ... + 62872592567.

Almost surely, 223074241404928 is an apocalyptic number.

23074241404928 is a gapful number since it is divisible by the number (28) 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 23074241404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27316035938304).

23074241404928 is an abundant number, since it is smaller than the sum of its proper divisors (31557830471680).

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

23074241404928 is a wasteful number, since it uses less digits than its factorization.

23074241404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 23074241404928 in words is "twenty-three trillion, seventy-four billion, two hundred forty-one million, four hundred four thousand, nine hundred twenty-eight".