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5174883072 = 28333124151
BaseRepresentation
bin1001101000111001…
…00111001100000000
3111100122110022001000
410310130213030000
541044232224242
62213255412000
7242144531442
oct46434471400
914318408030
105174883072
1122160a5277
121005084000
136461606b8
143713c6492
1520449da4c
hex134727300

5174883072 has 144 divisors (see below), whose sum is σ = 15797340160. Its totient is φ = 1669248000.

The previous prime is 5174883061. The next prime is 5174883083. The reversal of 5174883072 is 2703884715.

It is an interprime number because it is at equal distance from previous prime (5174883061) and next prime (5174883083).

It is a tau number, because it is divible by the number of its divisors (144).

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, 202197 + ... + 226347.

Almost surely, 25174883072 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 5174883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898670080).

5174883072 is an abundant number, since it is smaller than the sum of its proper divisors (10622457088).

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

5174883072 is a wasteful number, since it uses less digits than its factorization.

5174883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24207 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5174883072 is about 71936.6601393198. The cubic root of 5174883072 is about 1729.6843145233.

The spelling of 5174883072 in words is "five billion, one hundred seventy-four million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5952 6696 6912 7936 8928 11904 13392 17856 23808 24151 26784 35712 48302 53568 71424 72453 96604 107136 144906 193208 214272 217359 289812 386416 434718 579624 652077 748681 772832 869436 1159248 1304154 1497362 1545664 1738872 2246043 2318496 2608308 2994724 3091328 3477744 4492086 4636992 5216616 5989448 6182656 6738129 6955488 8984172 9273984 10433232 11978896 13476258 13910976 17968344 18547968 20214387 20866464 23957792 26952516 27821952 35936688 40428774 41732928 47915584 53905032 55643904 71873376 80857548 83465856 95831168 107810064 143746752 161715096 166931712 191662336 215620128 287493504 323430192 431240256 574987008 646860384 862480512 1293720768 1724961024 2587441536 5174883072