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78345284928 = 2632341432713
BaseRepresentation
bin100100011110110111…
…1100010110101000000
321111020000110211122120
41020331233202311000
52240422343104203
655554043204240
75442316635261
oct1107557426500
9244200424576
1078345284928
1130253964169
1213225816680
137507382781
143b130c0968
1520880b2b53
hex123dbe2d40

78345284928 has 112 divisors (see below), whose sum is σ = 221577261696. Its totient is φ = 24370339840.

The previous prime is 78345284909. The next prime is 78345284933. The reversal of 78345284928 is 82948254387.

It is a super-2 number, since 2×783452849282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35301 + ... + 397412.

It is an arithmetic number, because the mean of its divisors is an integer number (1978368408).

Almost surely, 278345284928 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 78345284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110788630848).

78345284928 is an abundant number, since it is smaller than the sum of its proper divisors (143231976768).

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

78345284928 is a wasteful number, since it uses less digits than its factorization.

78345284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432792 (or 432782 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 78345284928 in words is "seventy-eight billion, three hundred forty-five million, two hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 138 164 184 192 246 276 328 368 492 552 656 736 943 984 1104 1312 1472 1886 1968 2208 2624 2829 3772 3936 4416 5658 7544 7872 11316 15088 22632 30176 45264 60352 90528 181056 432713 865426 1298139 1730852 2596278 3461704 5192556 6923408 9952399 10385112 13846816 17741233 19904798 20770224 27693632 29857197 35482466 39809596 41540448 53223699 59714394 70964932 79619192 83080896 106447398 119428788 141929864 159238384 212894796 238857576 283859728 318476768 408048359 425789592 477715152 567719456 636953536 816096718 851579184 955430304 1135438912 1224145077 1632193436 1703158368 1910860608 2448290154 3264386872 3406316736 4896580308 6528773744 9793160616 13057547488 19586321232 26115094976 39172642464 78345284928