Search a number
-
+
69734243796 = 22378310939151
BaseRepresentation
bin100000011110001111…
…1000001110111010100
320122222220021121220020
41000330133001313110
52120303431300141
652011354505140
75016036202140
oct1007437016724
9218886247806
1069734243796
1127635187548
1211621a351b0
136764379369
1435375d8220
151c32118266
hex103c7c1dd4

69734243796 has 96 divisors (see below), whose sum is σ = 188391211008. Its totient is φ = 19663862400.

The previous prime is 69734243759. The next prime is 69734243807.

It is a happy number.

69734243796 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7615821 + ... + 7624971.

It is an arithmetic number, because the mean of its divisors is an integer number (1962408448).

Almost surely, 269734243796 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 69734243796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94195605504).

69734243796 is an abundant number, since it is smaller than the sum of its proper divisors (118656967212).

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

69734243796 is a wasteful number, since it uses less digits than its factorization.

69734243796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10339 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 60.

The spelling of 69734243796 in words is "sixty-nine billion, seven hundred thirty-four million, two hundred forty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1093 1162 1743 2186 2324 3279 3486 4372 6558 6972 7651 9151 13116 15302 18302 22953 27453 30604 36604 45906 54906 64057 90719 91812 109812 128114 181438 192171 256228 272157 362876 384342 544314 635033 759533 768684 1088628 1270066 1519066 1905099 2278599 2540132 3038132 3810198 4557198 5316731 7620396 9114396 10002043 10633462 15950193 20004086 21266924 30006129 31900386 40008172 60012258 63800772 70014301 120024516 140028602 210042903 280057204 420085806 830169569 840171612 1660339138 2490508707 3320678276 4981017414 5811186983 9962034828 11622373966 17433560949 23244747932 34867121898 69734243796