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69124791424 = 271380951349
BaseRepresentation
bin100000001100000101…
…0001001110010000000
320121102102111020102011
41000120022021302000
52113031421311144
651431104102304
74664656014103
oct1003012116200
9217372436364
1069124791424
11273521629a7
1211491904994
136698021260
1434ba6b073a
151be887ea34
hex1018289c80

69124791424 has 64 divisors (see below), whose sum is σ = 148488795000. Its totient is φ = 31863693312.

The previous prime is 69124791331. The next prime is 69124791431. The reversal of 69124791424 is 42419742196.

It can be written as a sum of positive squares in 4 ways, for example, as 45950209600 + 23174581824 = 214360^2 + 152232^2 .

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

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, 1320502 + ... + 1371850.

Almost surely, 269124791424 is an apocalyptic number.

69124791424 is a gapful number since it is divisible by the number (64) 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 69124791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74244397500).

69124791424 is an abundant number, since it is smaller than the sum of its proper divisors (79364003576).

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

69124791424 is a wasteful number, since it uses less digits than its factorization.

69124791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52185 (or 52173 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The spelling of 69124791424 in words is "sixty-nine billion, one hundred twenty-four million, seven hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 809 832 1618 1664 3236 6472 10517 12944 21034 25888 42068 51349 51776 84136 102698 103552 168272 205396 336544 410792 667537 673088 821584 1335074 1346176 1643168 2670148 3286336 5340296 6572672 10680592 21361184 41541341 42722368 83082682 85444736 166165364 332330728 540037433 664661456 1080074866 1329322912 2160149732 2658645824 4320299464 5317291648 8640598928 17281197856 34562395712 69124791424