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75419345940 = 223519233283937
BaseRepresentation
bin100011000111101010…
…1111110010000010100
321012200002210201220220
41012033111332100110
52213424323032230
654351442154340
75306650602021
oct1061725762024
9235602721826
1075419345940
1129a92288974
12127499529b0
13715c12c323
143916676548
151e6629cd10
hex118f57e414

75419345940 has 96 divisors (see below), whose sum is σ = 223243413120. Its totient is φ = 18971467776.

The previous prime is 75419345899. The next prime is 75419345951. The reversal of 75419345940 is 4954391457.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123652 + ... + 407588.

It is an arithmetic number, because the mean of its divisors is an integer number (2325452220).

Almost surely, 275419345940 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 75419345940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111621706560).

75419345940 is an abundant number, since it is smaller than the sum of its proper divisors (147824067180).

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

75419345940 is a wasteful number, since it uses less digits than its factorization.

75419345940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284201 (or 284199 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 75419345940 in words is "seventy-five billion, four hundred nineteen million, three hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 233 285 380 466 570 699 932 1140 1165 1398 2330 2796 3495 4427 4660 6990 8854 13281 13980 17708 22135 26562 44270 53124 66405 88540 132810 265620 283937 567874 851811 1135748 1419685 1703622 2839370 3407244 4259055 5394803 5678740 8518110 10789606 16184409 17036220 21579212 26974015 32368818 53948030 64737636 66157321 80922045 107896060 132314642 161844090 198471963 264629284 323688180 330786605 396943926 661573210 793887852 992359815 1256989099 1323146420 1984719630 2513978198 3770967297 3969439260 5027956396 6284945495 7541934594 12569890990 15083869188 18854836485 25139781980 37709672970 75419345940