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800341635648 = 26317300181707
BaseRepresentation
bin10111010010110000001…
…01000011001001000000
32211111211011222121222210
423221120011003021000
5101103044424320043
61411401042502120
7111552132441222
oct13513005031100
92744734877883
10800341635648
11289471a96705
1210b140964940
135a619994649
142aa45896412
1515c432c7633
hexba58143240

800341635648 has 112 divisors (see below), whose sum is σ = 2242908131904. Its totient is φ = 251000832000.

The previous prime is 800341635607. The next prime is 800341635707. The reversal of 800341635648 is 846536143008.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 800341635597 and 800341635606.

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, 9754411 + ... + 9836117.

Almost surely, 2800341635648 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 800341635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121454065952).

800341635648 is an abundant number, since it is smaller than the sum of its proper divisors (1442566496256).

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

800341635648 is a wasteful number, since it uses less digits than its factorization.

800341635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84740 (or 84730 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 800341635648 in words is "eight hundred billion, three hundred forty-one million, six hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3001 3264 6002 9003 12004 18006 24008 36012 48016 51017 72024 81707 96032 102034 144048 153051 163414 192064 204068 245121 288096 306102 326828 408136 490242 576192 612204 653656 816272 980484 1224408 1307312 1389019 1632544 1960968 2448816 2614624 2778038 3265088 3921936 4167057 4897632 5229248 5556076 7843872 8334114 9795264 11112152 15687744 16668228 22224304 33336456 44448608 66672912 88897216 133345824 245202707 266691648 490405414 735608121 980810828 1471216242 1961621656 2942432484 3923243312 4168446019 5884864968 7846486624 8336892038 11769729936 12505338057 15692973248 16673784076 23539459872 25010676114 33347568152 47078919744 50021352228 66695136304 100042704456 133390272608 200085408912 266780545216 400170817824 800341635648