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5155036288 = 272997103139
BaseRepresentation
bin1001100110100001…
…11001110010000000
3111022021002222100221
410303100321302000
541024142130123
62211310152424
7241514041213
oct46320716200
914267088327
105155036288
11220597a076
12bba4b2714
13642001c3c
1436c8db77a
1520287d25d
hex133439c80

5155036288 has 128 divisors (see below), whose sum is σ = 10915632000. Its totient is φ = 2421522432.

The previous prime is 5155036277. The next prime is 5155036301. The reversal of 5155036288 is 8826305515.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 37086523 + ... + 37086661.

It is an arithmetic number, because the mean of its divisors is an integer number (85278375).

Almost surely, 25155036288 is an apocalyptic number.

5155036288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457816000).

5155036288 is an abundant number, since it is smaller than the sum of its proper divisors (5760595712).

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

5155036288 is a wasteful number, since it uses less digits than its factorization.

5155036288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The square root of 5155036288 is about 71798.5813787431. The cubic root of 5155036288 is about 1727.4702451308.

The spelling of 5155036288 in words is "five billion, one hundred fifty-five million, thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 103 116 128 139 194 206 232 278 388 412 464 556 776 824 928 1112 1552 1648 1856 2224 2813 2987 3104 3296 3712 4031 4448 5626 5974 6208 6592 8062 8896 9991 11252 11948 12416 13184 13483 14317 16124 17792 19982 22504 23896 26966 28634 32248 39964 45008 47792 53932 57268 64496 79928 90016 95584 107864 114536 128992 159856 180032 191168 215728 229072 257984 289739 319712 360064 382336 391007 415193 431456 458144 515968 579478 639424 782014 830386 862912 916288 1158956 1278848 1388749 1564028 1660772 1725824 1832576 2317912 2777498 3128056 3321544 4635824 5554996 6256112 6643088 9271648 11109992 12512224 13286176 18543296 22219984 25024448 26572352 37086592 40273721 44439968 50048896 53144704 80547442 88879936 161094884 177759872 322189768 644379536 1288759072 2577518144 5155036288