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4947723144 = 2332713755147
BaseRepresentation
bin1001001101110100…
…00100001110001000
3110202211000101012100
410212322010032020
540113104120034
62134542513400
7233415644550
oct44672041610
913684011170
104947723144
1121099516a1
12b60b95860
1360b087040
1434d174160
151de57c099
hex126e84388

4947723144 has 96 divisors (see below), whose sum is σ = 16492432320. Its totient is φ = 1304892288.

The previous prime is 4947723119. The next prime is 4947723169. The reversal of 4947723144 is 4413277494.

It is an interprime number because it is at equal distance from previous prime (4947723119) and next prime (4947723169).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4947723144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371022 + ... + 384125.

It is an arithmetic number, because the mean of its divisors is an integer number (171796170).

Almost surely, 24947723144 is an apocalyptic number.

It is an amenable number.

4947723144 is an abundant number, since it is smaller than the sum of its proper divisors (11544709176).

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

4947723144 is a wasteful number, since it uses less digits than its factorization.

4947723144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755179 (or 755172 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4947723144 is about 70340.0536252284. The cubic root of 4947723144 is about 1703.9955779162.

The spelling of 4947723144 in words is "four billion, nine hundred forty-seven million, seven hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 755147 1510294 2265441 3020588 4530882 5286029 6041176 6796323 9061764 9816911 10572058 13592646 15858087 18123528 19633822 21144116 27185292 29450733 31716174 39267644 42288232 47574261 54370584 58901466 63432348 68718377 78535288 88352199 95148522 117802932 126864696 137436754 176704398 190297044 206155131 235605864 274873508 353408796 380594088 412310262 549747016 618465393 706817592 824620524 1236930786 1649241048 2473861572 4947723144