Search a number
-
+
70856724384 = 2532534642081
BaseRepresentation
bin100000111111101100…
…0111100111110100000
320202220010102112210100
41001333120330332200
52130103310140014
652315013302400
75055616135245
oct1017730747640
9222803375710
1070856724384
1128060856856
1211895934a00
1368b2a9b564
1436027095cc
151c9a940009
hex107f63cfa0

70856724384 has 72 divisors (see below), whose sum is σ = 205300718532. Its totient is φ = 23173263360.

The previous prime is 70856724383. The next prime is 70856724413. The reversal of 70856724384 is 48342765807.

70856724384 is a `hidden beast` number, since 70 + 8 + 567 + 2 + 4 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67614560784 + 3242163600 = 260028^2 + 56940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 70856724384.

It is not an unprimeable number, because it can be changed into a prime (70856724383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2305777 + ... + 2336304.

Almost surely, 270856724384 is an apocalyptic number.

It is an amenable number.

70856724384 is an abundant number, since it is smaller than the sum of its proper divisors (134443994148).

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

70856724384 is a wasteful number, since it uses less digits than its factorization.

70856724384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642150 (or 4642139 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 70856724384 in words is "seventy billion, eight hundred fifty-six million, seven hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 4642081 9284162 13926243 18568324 27852486 37136648 41778729 55704972 74273296 83557458 111409944 148546592 167114916 222819888 246030293 334229832 445639776 492060586 668459664 738090879 984121172 1336919328 1476181758 1968242344 2214272637 2952363516 3936484688 4428545274 5904727032 7872969376 8857090548 11809454064 17714181096 23618908128 35428362192 70856724384