Search a number
-
+
61933663616 = 27113533
BaseRepresentation
bin111001101011100010…
…001011010110000000
312220212021010002120012
4321223202023112000
52003320004213431
644241341204052
74321526311646
oct715342132600
9186767102505
1061933663616
11242a1a36170
1210005560628
135ac0249446
142dd7601196
1519273b022b
hexe6b88b580

61933663616 has 64 divisors (see below), whose sum is σ = 134982536400. Its totient is φ = 28071915520.

The previous prime is 61933663579. The next prime is 61933663699. The reversal of 61933663616 is 61636633916.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175449296 + ... + 175449648.

Almost surely, 261933663616 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 61933663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67491268200).

61933663616 is an abundant number, since it is smaller than the sum of its proper divisors (73048872784).

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

61933663616 is an frugal number, since it uses more digits than its factorization.

61933663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 366 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 50.

The spelling of 61933663616 in words is "sixty-one billion, nine hundred thirty-three million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 353 704 706 1408 1412 2824 3883 5648 7766 11296 15532 22592 31064 45184 62128 124256 124609 248512 249218 497024 498436 996872 1370699 1993744 2741398 3987488 5482796 7974976 10965592 15949952 21931184 43862368 43986977 87724736 87973954 175449472 175947908 351895816 483856747 703791632 967713494 1407583264 1935426988 2815166528 3870853976 5630333056 7741707952 15483415904 30966831808 61933663616