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500201938640 = 24559589717971
BaseRepresentation
bin1110100011101100101…
…10111101111011010000
31202211002221012020222102
413101312112331323100
531143403144014030
61021442315255532
751065320216625
oct7216626757320
91684087166872
10500201938640
11183152a54a38
1280b3874a5a8
1338226c335b1
141a2d1d8c34c
15d028721c45
hex74765bded0

500201938640 has 80 divisors (see below), whose sum is σ = 1182947232960. Its totient is φ = 196645278720.

The previous prime is 500201938583. The next prime is 500201938681. The reversal of 500201938640 is 46839102005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 500201938594 and 500201938603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27824855 + ... + 27842825.

It is an arithmetic number, because the mean of its divisors is an integer number (14786840412).

Almost surely, 2500201938640 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 500201938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591473616480).

500201938640 is an abundant number, since it is smaller than the sum of its proper divisors (682745294320).

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

500201938640 is a wasteful number, since it uses less digits than its factorization.

500201938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23940 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 500201938640 in words is "five hundred billion, two hundred one million, nine hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 5897 11794 17971 23588 29485 35942 47176 58970 71884 89855 94352 117940 143768 179710 235880 287536 347923 359420 471760 695846 718840 1060289 1391692 1437680 1739615 2120578 2783384 3479230 4241156 5301445 5566768 6958460 8482312 10602890 13916920 16964624 21205780 27833840 42411560 84823120 105974987 211949974 423899948 529874935 847799896 1059749870 1695599792 2119499740 4238999480 6252524233 8477998960 12505048466 25010096932 31262621165 50020193864 62525242330 100040387728 125050484660 250100969320 500201938640