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61384826048 = 2672131505711
BaseRepresentation
bin111001001010110100…
…100001110011000000
312212110000101020221212
4321022310201303000
52001204003413143
644111053505252
74302113261300
oct711264416300
9185400336855
1061384826048
11240401523a7
12ba917a2228
135a336250a0
142d84775600
1518e40eb918
hexe4ad21cc0

61384826048 has 84 divisors (see below), whose sum is σ = 152597888352. Its totient is φ = 24284090880.

The previous prime is 61384826047. The next prime is 61384826051. The reversal of 61384826048 is 84062848316.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61384825987 and 61384826005.

It is not an unprimeable number, because it can be changed into a prime (61384826047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712088 + ... + 793623.

It is an arithmetic number, because the mean of its divisors is an integer number (1816641528).

Almost surely, 261384826048 is an apocalyptic number.

It is an amenable number.

61384826048 is an abundant number, since it is smaller than the sum of its proper divisors (91213062304).

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

61384826048 is a wasteful number, since it uses less digits than its factorization.

61384826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505750 (or 1505733 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 61384826048 in words is "sixty-one billion, three hundred eighty-four million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 40768 1505711 3011422 6022844 10539977 12045688 19574243 21079954 24091376 39148486 42159908 48182752 73779839 78296972 84319816 96365504 137019701 147559678 156593944 168639632 274039402 295119356 313187888 337279264 548078804 590238712 626375776 674558528 959137907 1096157608 1180477424 1252751552 1918275814 2192315216 2360954848 3836551628 4384630432 4721909696 7673103256 8769260864 15346206512 30692413024 61384826048