Search a number
-
+
14629985370 = 233572112131937
BaseRepresentation
bin11011010000000001…
…11101110001011010
31101202120220021001000
431220000331301122
5214430234012440
610415415205430
71025354552400
oct155000756132
941676807030
1014629985370
116228277600
122a03676876
1314c1ca5ba0
149cb027470
155a95c5730
hex36803dc5a

14629985370 has 1152 divisors, whose sum is σ = 58076524800. Its totient is φ = 2586608640.

The previous prime is 14629985347. The next prime is 14629985387. The reversal of 14629985370 is 7358992641.

14629985370 is a `hidden beast` number, since 1 + 4 + 629 + 9 + 8 + 5 + 3 + 7 + 0 = 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 575 ways as a sum of consecutive naturals, for example, 395404992 + ... + 395405028.

It is an arithmetic number, because the mean of its divisors is an integer number (50413650).

It is a 1-persistent number, because it is pandigital, but 2⋅14629985370 = 29259970740 is not.

Almost surely, 214629985370 is an apocalyptic number.

14629985370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14629985370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29038262400).

14629985370 is an abundant number, since it is smaller than the sum of its proper divisors (43446539430).

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

14629985370 is a wasteful number, since it uses less digits than its factorization.

14629985370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 14629 and 985370, that added together give a palindrome (999999).

The spelling of 14629985370 in words is "fourteen billion, six hundred twenty-nine million, nine hundred eighty-five thousand, three hundred seventy".