Search a number
-
+
61642538970 = 23523241370693
BaseRepresentation
bin111001011010001011…
…100111111111011010
312220002222022102121220
4321122023213333122
52002220442221340
644152421312510
74311362636025
oct713213477732
9186088272556
1061642538970
1124162673991
12bb43b65736
135a74b3833c
142daaa9c1bc
15190ba55ed0
hexe5a2e7fda

61642538970 has 64 divisors (see below), whose sum is σ = 155015334144. Its totient is φ = 15658030080.

The previous prime is 61642538959. The next prime is 61642538977. The reversal of 61642538970 is 7983524616.

It is a super-2 number, since 2×616425389702 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61642538977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19057 + ... + 351636.

It is an arithmetic number, because the mean of its divisors is an integer number (2422114596).

It is a 1-persistent number, because it is pandigital, but 2⋅61642538970 = 123285077940 is not.

Almost surely, 261642538970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61642538970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77507667072).

61642538970 is an abundant number, since it is smaller than the sum of its proper divisors (93372795174).

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

61642538970 is a wasteful number, since it uses less digits than its factorization.

61642538970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370967.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 61642538970 in words is "sixty-one billion, six hundred forty-two million, five hundred thirty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 241 345 482 690 723 1205 1446 2410 3615 5543 7230 11086 16629 27715 33258 55430 83145 166290 370693 741386 1112079 1853465 2224158 3706930 5560395 8525939 11120790 17051878 25577817 42629695 51155634 85259390 89337013 127889085 178674026 255778170 268011039 446685065 536022078 893370130 1340055195 2054751299 2680110390 4109502598 6164253897 10273756495 12328507794 20547512990 30821269485 61642538970