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5152014504 = 2333713262109
BaseRepresentation
bin1001100110001010…
…11000000010101000
3111022001102110021000
410303011120002220
541022403431004
62211121315000
7241446254310
oct46305300250
914261373230
105152014504
1122041a582a
12bb9495a60
136414b46c0
1436c352440
15202482c39
hex1331580a8

5152014504 has 128 divisors (see below), whose sum is σ = 17613792000. Its totient is φ = 1358767872.

The previous prime is 5152014457. The next prime is 5152014529. The reversal of 5152014504 is 4054102515.

5152014504 is a `hidden beast` number, since 5 + 1 + 5 + 201 + 450 + 4 = 666.

It is a super-3 number, since 3×51520145043 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

5152014504 is a modest number, since divided by 14504 gives 5152 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111399 + ... + 150710.

It is an arithmetic number, because the mean of its divisors is an integer number (137607750).

Almost surely, 25152014504 is an apocalyptic number.

5152014504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5152014504 is an abundant number, since it is smaller than the sum of its proper divisors (12461777496).

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

5152014504 is a wasteful number, since it uses less digits than its factorization.

5152014504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262144 (or 262134 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5152014504 is about 71777.5348141743. The cubic root of 5152014504 is about 1727.1326424480.

The spelling of 5152014504 in words is "five billion, one hundred fifty-two million, fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 262109 524218 786327 1048436 1572654 1834763 2096872 2358981 3145308 3407417 3669526 4717962 5504289 6290616 6814834 7076943 7339052 9435924 10222251 11008578 13629668 14153886 14678104 16512867 18871848 20444502 22017156 23851919 27259336 28307772 30666753 33025734 40889004 44034312 47703838 49538601 56615544 61333506 66051468 71555757 81778008 92000259 95407676 99077202 122667012 132102936 143111514 184000518 190815352 198154404 214667271 245334024 286223028 368001036 396308808 429334542 572446056 644001813 736002072 858669084 1288003626 1717338168 2576007252 5152014504