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78353407424 = 2623191278687
BaseRepresentation
bin100100011111000111…
…0100001110111000000
321111020120202111121202
41020332032201313000
52240431433014144
655554533240332
75442445655105
oct1107616416700
9244216674552
1078353407424
1130258501776
12132284930a8
137508c67896
143b141d6aac
152088b6964e
hex123e3a1dc0

78353407424 has 56 divisors (see below), whose sum is σ = 163092676608. Its totient is φ = 37277039360.

The previous prime is 78353407423. The next prime is 78353407427. The reversal of 78353407424 is 42470435387.

It is a super-2 number, since 2×783534074242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78353407423) 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 7 ways as a sum of consecutive naturals, for example, 141809 + ... + 420495.

Almost surely, 278353407424 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 78353407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81546338304).

78353407424 is an abundant number, since it is smaller than the sum of its proper divisors (84739269184).

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

78353407424 is a wasteful number, since it uses less digits than its factorization.

78353407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278913 (or 278903 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 78353407424 in words is "seventy-eight billion, three hundred fifty-three million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 191 368 382 736 764 1472 1528 3056 4393 6112 8786 12224 17572 35144 70288 140576 278687 281152 557374 1114748 2229496 4458992 6409801 8917984 12819602 17835968 25639204 51278408 53229217 102556816 106458434 205113632 212916868 410227264 425833736 851667472 1224271991 1703334944 2448543982 3406669888 4897087964 9794175928 19588351856 39176703712 78353407424