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552430012320 = 253253613106181
BaseRepresentation
bin10000000100111110110…
…01010000011110100000
31221210220210112022002200
420002133121100132200
533022334040343240
61101441032213200
754624505425204
oct10023731203640
91853823468080
10552430012320
111a331438179a
128b09383a200
134012b483bc4
141ca48586b04
15e5839cb930
hex809f6507a0

552430012320 has 144 divisors (see below), whose sum is σ = 1885706949672. Its totient is φ = 147272509440.

The previous prime is 552430012279. The next prime is 552430012361. The reversal of 552430012320 is 23210034255.

It is a happy number.

552430012320 is a `hidden beast` number, since 5 + 5 + 24 + 300 + 12 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (552430012279) and next prime (552430012361).

It can be written as a sum of positive squares in 4 ways, for example, as 92924986896 + 459505025424 = 304836^2 + 677868^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5149630 + ... + 5255810.

Almost surely, 2552430012320 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 552430012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942853474836).

552430012320 is an abundant number, since it is smaller than the sum of its proper divisors (1333276937352).

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

552430012320 is a wasteful number, since it uses less digits than its factorization.

552430012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109815 (or 109804 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 552430012320 its reverse (23210034255), we get a palindrome (575640046575).

The spelling of 552430012320 in words is "five hundred fifty-two billion, four hundred thirty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3613 7226 10839 14452 18065 21678 28904 32517 36130 43356 54195 57808 65034 72260 86712 106181 108390 115616 130068 144520 162585 173424 212362 216780 260136 289040 318543 325170 346848 424724 433560 520272 530905 578080 637086 650340 849448 867120 955629 1040544 1061810 1274172 1300680 1592715 1698896 1734240 1911258 2123620 2548344 2601360 3185430 3397792 3822516 4247240 4778145 5096688 5202720 6370860 7645032 8494480 9556290 10193376 12741720 15290064 16988960 19112580 25483440 30580128 38225160 50966880 76450320 152900640 383631953 767263906 1150895859 1534527812 1918159765 2301791718 3069055624 3452687577 3836319530 4603583436 5754479295 6138111248 6905375154 7672639060 9207166872 11508958590 12276222496 13810750308 15345278120 17263437885 18414333744 23017917180 27621500616 30690556240 34526875770 36828667488 46035834360 55243001232 61381112480 69053751540 92071668720 110486002464 138107503080 184143337440 276215006160 552430012320