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183828320136516 = 2231116383910183309
BaseRepresentation
bin101001110011000011011101…
…101110001010110101000100
3220002212211000200220120020110
4221303003131232022311010
5143043320344423332031
61450545321530033020
753502105066443466
oct5163033556126504
9802784020816213
10183828320136516
1153634175360490
121874b1b0578770
137b75c22b00843
1433574a3d0a136
15163bbe3140c46
hexa730ddb8ad44

183828320136516 has 96 divisors (see below), whose sum is σ = 471358535961600. Its totient is φ = 55297806433920.

The previous prime is 183828320136481. The next prime is 183828320136529. The reversal of 183828320136516 is 615631023828381.

183828320136516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 12960270 + ... + 23143578.

It is an arithmetic number, because the mean of its divisors is an integer number (4909984749600).

Almost surely, 2183828320136516 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 183828320136516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235679267980800).

183828320136516 is an abundant number, since it is smaller than the sum of its proper divisors (287530215825084).

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

183828320136516 is a wasteful number, since it uses less digits than its factorization.

183828320136516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184329 (or 10184327 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 183828320136516 in words is "one hundred eighty-three trillion, eight hundred twenty-eight billion, three hundred twenty million, one hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 839 978 1678 1793 1956 2517 3356 3586 5034 5379 7172 9229 10068 10758 18458 21516 27687 36916 55374 110748 136757 273514 410271 547028 820542 1504327 1641084 3008654 4512981 6017308 9025962 10183309 18051924 20366618 30549927 40733236 61099854 112016399 122199708 224032798 336049197 448065596 672098394 1344196788 1659879367 3319758734 4979638101 6639517468 8543796251 9959276202 17087592502 18258673037 19918552404 25631388753 34175185004 36517346074 51262777506 54776019111 73034692148 93981758761 102525555012 109552038222 187963517522 219104076444 281945276283 375927035044 563890552566 1127781105132 1392638788913 2785277577826 4177916366739 5570555155652 8355832733478 15319026678043 16711665466956 30638053356086 45957080034129 61276106712172 91914160068258 183828320136516