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5155388320 = 255792111933
BaseRepresentation
bin1001100110100100…
…01111101110100000
3111022021202212021011
410303102033232200
541024234411240
62211321510304
7241520035435
oct46322175640
914267685234
105155388320
11220609a605
12bba642394
136420c6244
1436c98db8c
152028ec6ea
hex13348fba0

5155388320 has 96 divisors (see below), whose sum is σ = 12398641920. Its totient is φ = 2025354240.

The previous prime is 5155388269. The next prime is 5155388321. The reversal of 5155388320 is 238835515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5155388321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666074 + ... + 2668006.

It is an arithmetic number, because the mean of its divisors is an integer number (129152520).

Almost surely, 25155388320 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 5155388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199320960).

5155388320 is an abundant number, since it is smaller than the sum of its proper divisors (7243253600).

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

5155388320 is a wasteful number, since it uses less digits than its factorization.

5155388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 5155388320 is about 71801.0328616518. The cubic root of 5155388320 is about 1727.5095666104.

It can be divided in two parts, 515 and 5388320, that added together give a palindrome (5388835).

The spelling of 5155388320 in words is "five billion, one hundred fifty-five million, three hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 211 316 395 422 632 790 844 1055 1264 1580 1688 1933 2110 2528 3160 3376 3866 4220 6320 6752 7732 8440 9665 12640 15464 16669 16880 19330 30928 33338 33760 38660 61856 66676 77320 83345 133352 152707 154640 166690 266704 305414 309280 333380 407863 533408 610828 666760 763535 815726 1221656 1333520 1527070 1631452 2039315 2443312 2667040 3054140 3262904 4078630 4886624 6108280 6525808 8157260 12216560 13051616 16314520 24433120 32221177 32629040 64442354 65258080 128884708 161105885 257769416 322211770 515538832 644423540 1031077664 1288847080 2577694160 5155388320