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61726340642904 = 2335767199340211
BaseRepresentation
bin11100000100011110010001…
…00110110111100001011000
322002112222110210212122100000
432002033020212313201120
531042311021201033104
6335140404525413000
716000403156326320
oct1602171046674130
9262488423778300
1061726340642904
1118738aa30aa563
126b0ab8a70a160
1328599cc4b57a2
1411357dc4cc280
1572099cb11639
hex3823c89b7858

61726340642904 has 384 divisors, whose sum is σ = 202102258176000. Its totient is φ = 17285520320640.

The previous prime is 61726340642861. The next prime is 61726340642909. The reversal of 61726340642904 is 40924604362716.

61726340642904 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 6 + 340 + 6 + 4 + 290 + 4 = 666.

It is a super-2 number, since 2×617263406429042 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61726340642909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181265359 + ... + 181605569.

It is an arithmetic number, because the mean of its divisors is an integer number (526307964000).

Almost surely, 261726340642904 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 61726340642904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101051129088000).

61726340642904 is an abundant number, since it is smaller than the sum of its proper divisors (140375917533096).

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

61726340642904 is a wasteful number, since it uses less digits than its factorization.

61726340642904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340505 (or 340489 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 61726340642904 in words is "sixty-one trillion, seven hundred twenty-six billion, three hundred forty million, six hundred forty-two thousand, nine hundred four".