Search a number
-
+
70049685600 = 25335229111829
BaseRepresentation
bin100000100111101001…
…0010110000001100000
320200210212211201201000
41001033102112001200
52121430204414400
652102543512000
75026616334426
oct1011722260140
9220725751630
1070049685600
1127787248654
12116ab5b8600
1367b482290b
14356746b116
151c4eb77600
hex104f496060

70049685600 has 288 divisors, whose sum is σ = 262084788000. Its totient is φ = 18035619840.

The previous prime is 70049685553. The next prime is 70049685677. The reversal of 70049685600 is 658694007.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570486 + ... + 682314.

It is an arithmetic number, because the mean of its divisors is an integer number (910016625).

Almost surely, 270049685600 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 70049685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131042394000).

70049685600 is an abundant number, since it is smaller than the sum of its proper divisors (192035102400).

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

70049685600 is a wasteful number, since it uses less digits than its factorization.

70049685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111887 (or 111868 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 70049685600 in words is "seventy billion, forty-nine million, six hundred eighty-five thousand, six hundred".