Search a number
-
+
73061076029760 = 2635571319237773
BaseRepresentation
bin10000100111001011011011…
…011110111101000101000000
3100120200120102000012211100000
4100213023123132331011000
534034013040430423020
6415215443414200000
721250326400414620
oct2047133336750500
9316616360184300
1073061076029760
11213090347a1a55
12823b886653000
13319c825ba1190
1414082640b0880
1586a74618b090
hex4272db7bd140

73061076029760 has 4032 divisors, whose sum is σ = 348115940669952. Its totient is φ = 14190685913088.

The previous prime is 73061076029749. The next prime is 73061076029771. The reversal of 73061076029760 is 6792067016037.

It is an interprime number because it is at equal distance from previous prime (73061076029749) and next prime (73061076029771).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73061076029697 and 73061076029706.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 94516268734 + ... + 94516269506.

It is an arithmetic number, because the mean of its divisors is an integer number (86338278936).

Almost surely, 273061076029760 is an apocalyptic number.

73061076029760 is a gapful number since it is divisible by the number (70) 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 73061076029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174057970334976).

73061076029760 is an abundant number, since it is smaller than the sum of its proper divisors (275054864640192).

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

73061076029760 is a wasteful number, since it uses less digits than its factorization.

73061076029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 73061076029760 in words is "seventy-three trillion, sixty-one billion, seventy-six million, twenty-nine thousand, seven hundred sixty".