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5187169920 = 273512972083
BaseRepresentation
bin1001101010010110…
…11110111010000000
3111101111120112102110
410311023132322000
541110403414140
62214415015320
7242354134242
oct46513367200
914344515373
105187169920
112222027599
12100920a540
1364887311a
14372ca4092
152055c9380
hex1352dee80

5187169920 has 128 divisors (see below), whose sum is σ = 16554795840. Its totient is φ = 1381515264.

The previous prime is 5187169873. The next prime is 5187169987. The reversal of 5187169920 is 299617815.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5187169920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489199 + ... + 2491281.

Almost surely, 25187169920 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 5187169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277397920).

5187169920 is an abundant number, since it is smaller than the sum of its proper divisors (11367625920).

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

5187169920 is a wasteful number, since it uses less digits than its factorization.

5187169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 5187169920 is about 72022.0099691754. The cubic root of 5187169920 is about 1731.0521760521.

The spelling of 5187169920 in words is "five billion, one hundred eighty-seven million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1297 1920 2083 2594 3891 4166 5188 6249 6485 7782 8332 10376 10415 12498 12970 15564 16664 19455 20752 20830 24996 25940 31128 31245 33328 38910 41504 41660 49992 51880 62256 62490 66656 77820 83008 83320 99984 103760 124512 124980 133312 155640 166016 166640 199968 207520 249024 249960 266624 311280 333280 399936 415040 498048 499920 622560 666560 799872 830080 999840 1245120 1333120 1999680 2490240 2701651 3999360 5403302 8104953 10806604 13508255 16209906 21613208 27016510 32419812 40524765 43226416 54033020 64839624 81049530 86452832 108066040 129679248 162099060 172905664 216132080 259358496 324198120 345811328 432264160 518716992 648396240 864528320 1037433984 1296792480 1729056640 2593584960 5187169920