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8716923648 = 283311232
BaseRepresentation
bin10000001111001000…
…11011001100000000
3211111111102121021000
420013210123030000
5120323013024043
64000545532000
7426004425366
oct100744331400
924444377230
108716923648
113773526834
121833344000
13a8bc295b4
145c99a9636
153604122d3
hex20791b300

8716923648 has 108 divisors (see below), whose sum is σ = 25800451320. Its totient is φ = 2903053824.

The previous prime is 8716923643. The next prime is 8716923653. The reversal of 8716923648 is 8463296178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8716923643) and next prime (8716923653).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8716923594 and 8716923603.

It is not an unprimeable number, because it can be changed into a prime (8716923643) 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, 7761615 + ... + 7762737.

Almost surely, 28716923648 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 8716923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900225660).

8716923648 is an abundant number, since it is smaller than the sum of its proper divisors (17083527672).

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

8716923648 is an frugal number, since it uses more digits than its factorization.

8716923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 1128 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8716923648 is about 93364.4667311928. The cubic root of 8716923648 is about 2058.0428554005.

The spelling of 8716923648 in words is "eight billion, seven hundred sixteen million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1123 1152 1728 2246 2304 3369 3456 4492 6738 6912 8984 10107 13476 17968 20214 26952 30321 35936 40428 53904 60642 71872 80856 107808 121284 143744 161712 215616 242568 287488 323424 431232 485136 646848 862464 970272 1261129 1293696 1940544 2522258 2587392 3783387 3881088 5044516 7566774 7762176 10089032 11350161 15133548 20178064 22700322 30267096 34050483 40356128 45400644 60534192 68100966 80712256 90801288 121068384 136201932 161424512 181602576 242136768 272403864 322849024 363205152 484273536 544807728 726410304 968547072 1089615456 1452820608 2179230912 2905641216 4358461824 8716923648