Search a number
-
+
14701641696 = 253372677173
BaseRepresentation
bin11011011000100100…
…10011111111100000
31101221120201210001000
431230102103333200
5220102110013241
610430455112000
71030214615100
oct155422237740
941846653030
1014701641696
11626476a005
122a23672600
131503aa4591
149d675b200
155b0a2beb6
hex36c493fe0

14701641696 has 576 divisors, whose sum is σ = 52041346560. Its totient is φ = 4023613440.

The previous prime is 14701641677. The next prime is 14701641719. The reversal of 14701641696 is 69614610741.

14701641696 is a `hidden beast` number, since 1 + 470 + 16 + 4 + 169 + 6 = 666.

It is a super-2 number, since 2×147016416962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201392316 + ... + 201392388.

It is an arithmetic number, because the mean of its divisors is an integer number (90349560).

Almost surely, 214701641696 is an apocalyptic number.

14701641696 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 14701641696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26020673280).

14701641696 is an abundant number, since it is smaller than the sum of its proper divisors (37339704864).

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

14701641696 is a wasteful number, since it uses less digits than its factorization.

14701641696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14701641696 in words is "fourteen billion, seven hundred one million, six hundred forty-one thousand, six hundred ninety-six".