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61050066064 = 241310310212791
BaseRepresentation
bin111000110110110111…
…100001010010010000
312211120200110200120221
4320312313201102100
52000012304103224
644013534442424
74260606666541
oct706667412220
9184520420527
1061050066064
1123989197259
12b9b9663414
1359ac176860
142d521144c8
1518c4a236e4
hexe36de1490

61050066064 has 80 divisors (see below), whose sum is σ = 128792145664. Its totient is φ = 27866073600.

The previous prime is 61050066061. The next prime is 61050066079. The reversal of 61050066064 is 46066005016.

It is a super-2 number, since 2×610500660642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61050066061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21872509 + ... + 21875299.

Almost surely, 261050066064 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 61050066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64396072832).

61050066064 is an abundant number, since it is smaller than the sum of its proper divisors (67742079600).

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

61050066064 is a wasteful number, since it uses less digits than its factorization.

61050066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 61050066064 in words is "sixty-one billion, fifty million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1021 1339 1648 2042 2678 2791 4084 5356 5582 8168 10712 11164 13273 16336 21424 22328 26546 36283 44656 53092 72566 105163 106184 145132 210326 212368 287473 290264 420652 574946 580528 841304 1149892 1367119 1682608 2299784 2734238 2849611 3737149 4599568 5468476 5699222 7474298 10936952 11398444 14948596 21873904 22796888 29897192 37044943 45593776 59794384 74089886 148179772 293509933 296359544 587019866 592719088 1174039732 2348079464 3815629129 4696158928 7631258258 15262516516 30525033032 61050066064