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634030511764048 = 24729907215222093
BaseRepresentation
bin1001000000101001011011101…
…1011011100011001001010000
310002010220201120111112211210121
42100022112323123203021100
51131100423442002422143
610124245332430440024
7250356123065453020
oct22012267333431120
93063821514484717
10634030511764048
11174026914827593
125b13b43b663014
13212a1a89150249
14b27d351d3ba80
154d478c69697ed
hex240a5bb6e3250

634030511764048 has 80 divisors (see below), whose sum is σ = 1453937160458880. Its totient is φ = 262068193433088.

The previous prime is 634030511764021. The next prime is 634030511764051. The reversal of 634030511764048 is 840467115030436.

It is a junction number, because it is equal to n+sod(n) for n = 634030511763986 and 634030511764004.

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, 104665111 + ... + 110556982.

It is an arithmetic number, because the mean of its divisors is an integer number (18174214505736).

Almost surely, 2634030511764048 is an apocalyptic number.

It is an amenable number.

634030511764048 is an abundant number, since it is smaller than the sum of its proper divisors (819906648694832).

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

634030511764048 is a wasteful number, since it uses less digits than its factorization.

634030511764048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215223044 (or 215223038 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 634030511764048 in words is "six hundred thirty-four trillion, thirty billion, five hundred eleven million, seven hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 907 1624 1814 3248 3628 6349 7256 12698 14512 25396 26303 50792 52606 101584 105212 184121 210424 368242 420848 736484 1472968 2945936 215222093 430444186 860888372 1506554651 1721776744 3013109302 3443553488 6026218604 6241440697 12052437208 12482881394 24104874416 24965762788 43690084879 49931525576 87380169758 99863051152 174760339516 195206438351 349520679032 390412876702 699041358064 780825753404 1366445068457 1561651506808 2732890136914 3123303013616 5465780273828 5660986712179 10931560547656 11321973424358 21863121095312 22643946848716 39626906985253 45287893697432 79253813970506 90575787394864 158507627941012 317015255882024 634030511764048