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5088111560 = 23571710191049
BaseRepresentation
bin1001011110100011…
…00110101111001000
3111010121011211220022
410233101212233020
540410024032220
62200515520012
7240042143330
oct45721465710
914117154808
105088111560
112181119584
12b9bbb9008
1363119c0cc
14363a7a0c0
151eba5d925
hex12f466bc8

5088111560 has 128 divisors (see below), whose sum is σ = 13880160000. Its totient is φ = 1638703104.

The previous prime is 5088111559. The next prime is 5088111563. The reversal of 5088111560 is 651118805.

It is a Cunningham number, because it is equal to 713312-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5088111560.

It is not an unprimeable number, because it can be changed into a prime (5088111563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4849916 + ... + 4850964.

It is an arithmetic number, because the mean of its divisors is an integer number (108438750).

Almost surely, 25088111560 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 5088111560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080000).

5088111560 is an abundant number, since it is smaller than the sum of its proper divisors (8792048440).

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

5088111560 is a wasteful number, since it uses less digits than its factorization.

5088111560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The square root of 5088111560 is about 71330.9999929904. Note that the first 5 decimals coincide. The cubic root of 5088111560 is about 1719.9620912864.

The spelling of 5088111560 in words is "five billion, eighty-eight million, one hundred eleven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1019 1049 1190 2038 2098 2380 4076 4196 4760 5095 5245 7133 7343 8152 8392 10190 10490 14266 14686 17323 17833 20380 20980 28532 29372 34646 35665 35666 36715 40760 41960 57064 58744 69292 71330 71332 73430 86615 89165 121261 124831 138584 142660 142664 146860 173230 178330 242522 249662 285320 293720 346460 356660 485044 499324 606305 624155 692920 713320 970088 998648 1068931 1212610 1248310 2137862 2425220 2496620 4275724 4850440 4993240 5344655 7482517 8551448 10689310 14965034 18171827 21378620 29930068 36343654 37412585 42757240 59860136 72687308 74825170 90859135 127202789 145374616 149650340 181718270 254405578 299300680 363436540 508811156 636013945 726873080 1017622312 1272027890 2544055780 5088111560