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5304964018176 = 21232569252911
BaseRepresentation
bin100110100110010100001…
…1111101111000000000000
3200210011001001201101221100
41031030220133233000000
51143404031242040201
615141022233454400
71055161645100634
oct115145037570000
920704031641840
105304964018176
111765905985119
12718179871400
132c6343463b24
14144a93ca0dc4
1592edaaca886
hex4d3287ef000

5304964018176 has 156 divisors (see below), whose sum is σ = 15350572242720. Its totient is φ = 1765206589440.

The previous prime is 5304964018171. The next prime is 5304964018217. The reversal of 5304964018176 is 6718104694035.

5304964018176 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 96 + 401 + 81 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304964018171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20849161 + ... + 21102071.

It is an arithmetic number, because the mean of its divisors is an integer number (98401104120).

Almost surely, 25304964018176 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 5304964018176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675286121360).

5304964018176 is an abundant number, since it is smaller than the sum of its proper divisors (10045608224544).

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

5304964018176 is a wasteful number, since it uses less digits than its factorization.

5304964018176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253510 (or 253485 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5304964018176 in words is "five trillion, three hundred four billion, nine hundred sixty-four million, eighteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 569 576 768 1024 1138 1152 1536 1707 2048 2276 2304 3072 3414 4096 4552 4608 5121 6144 6828 9104 9216 10242 12288 13656 18208 18432 20484 27312 36416 36864 40968 54624 72832 81936 109248 145664 163872 218496 252911 291328 327744 436992 505822 582656 655488 758733 873984 1011644 1165312 1310976 1517466 1747968 2023288 2276199 2330624 2621952 3034932 3495936 4046576 4552398 5243904 6069864 6991872 8093152 9104796 10487808 12139728 16186304 18209592 20975616 24279456 32372608 36419184 48558912 64745216 72838368 97117824 129490432 143906359 145676736 194235648 258980864 287812718 291353472 388471296 431719077 517961728 575625436 582706944 776942592 863438154 1035923456 1151250872 1165413888 1295157231 1553885184 1726876308 2302501744 2330827776 2590314462 3107770368 3453752616 4605003488 4661655552 5180628924 6907505232 9210006976 9323311104 10361257848 13815010464 18420013952 20722515696 27630020928 36840027904 41445031392 55260041856 73680055808 82890062784 110520083712 147360111616 165780125568 221040167424 294720223232 331560251136 442080334848 589440446464 663120502272 884160669696 1326241004544 1768321339392 2652482009088 5304964018176