Search a number
-
+
16690652681472 = 28377211194171
BaseRepresentation
bin1111001011100001100001…
…1011001001010100000000
32012002121111021122020000000
43302320120123021110000
54141424424041301342
655255325140000000
73341600634652500
oct362703033112400
965077437566000
1016690652681472
115355514350330
121a56915990000
13940bca24a433
14419b90a3ba00
151de26754c44c
hexf2e186c9500

16690652681472 has 3456 divisors, whose sum is σ = 69336613785600. Its totient is φ = 3950456832000.

The previous prime is 16690652681449. The next prime is 16690652681501. The reversal of 16690652681472 is 27418625609661.

16690652681472 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 0 + 65 + 26 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 235079615197 + ... + 235079615267.

It is an arithmetic number, because the mean of its divisors is an integer number (20062677600).

Almost surely, 216690652681472 is an apocalyptic number.

16690652681472 is a gapful number since it is divisible by the number (12) 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 16690652681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34668306892800).

16690652681472 is an abundant number, since it is smaller than the sum of its proper divisors (52645961104128).

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

16690652681472 is an equidigital number, since it uses as much as digits as its factorization.

16690652681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 16690652681472 in words is "sixteen trillion, six hundred ninety billion, six hundred fifty-two million, six hundred eighty-one thousand, four hundred seventy-two".