Search a number
-
+
74370137901696 = 2732713273747547
BaseRepresentation
bin10000111010001110100101…
…101001101100101010000000
3100202022201022210002001220200
4100322032211221230222000
534221440020300323241
6422101100353205200
721444031226632110
oct2072164551545200
9322281283061820
1074370137901696
11217732200246aa
128411520860800
1332660c64cc900
141451768d79040
1588e8109104b6
hex43a3a5a6ca80

74370137901696 has 576 divisors, whose sum is σ = 268469783824320. Its totient is φ = 19345390092288.

The previous prime is 74370137901641. The next prime is 74370137901713. The reversal of 74370137901696 is 69610973107347.

74370137901696 is a `hidden beast` number, since 7 + 4 + 370 + 13 + 7 + 90 + 169 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99111795 + ... + 99859341.

It is an arithmetic number, because the mean of its divisors is an integer number (466093374695).

Almost surely, 274370137901696 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 74370137901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134234891912160).

74370137901696 is an abundant number, since it is smaller than the sum of its proper divisors (194099645922624).

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

74370137901696 is a wasteful number, since it uses less digits than its factorization.

74370137901696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747673 (or 747645 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 74370137901696 in words is "seventy-four trillion, three hundred seventy billion, one hundred thirty-seven million, nine hundred one thousand, six hundred ninety-six".