Search a number
-
+
69140737344 = 26372191812137
BaseRepresentation
bin100000001100100011…
…0111110110101000000
320121110112111101002210
41000121012332311000
52113100012043334
651432433542120
74665241366500
oct1003106766500
9217415441083
1069140737344
1127360164348
1211497114940
13669b415303
1434bc861a00
151be9e7e5e9
hex10191bed40

69140737344 has 336 divisors, whose sum is σ = 225344857920. Its totient is φ = 18602680320.

The previous prime is 69140737343. The next prime is 69140737357. The reversal of 69140737344 is 44373704196.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 69140737293 and 69140737302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69140737343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32353044 + ... + 32355180.

It is an arithmetic number, because the mean of its divisors is an integer number (670669220).

Almost surely, 269140737344 is an apocalyptic number.

69140737344 is a gapful number since it is divisible by the number (64) 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 69140737344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112672428960).

69140737344 is an abundant number, since it is smaller than the sum of its proper divisors (156204120576).

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

69140737344 is a wasteful number, since it uses less digits than its factorization.

69140737344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 69140737344 in words is "sixty-nine billion, one hundred forty million, seven hundred thirty-seven thousand, three hundred forty-four".