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18200030472 = 233213212232
BaseRepresentation
bin10000111100110011…
…100110110100001000
31201222101120100020200
4100330303212310020
5244233201433342
612205545452200
71213004464221
oct207463466410
951871510220
1018200030472
11779a4962a8
12363b1a1060
1319407c8700
14c4921a248
15717c1b94c
hex43cce6d08

18200030472 has 108 divisors (see below), whose sum is σ = 53418767805. Its totient is φ = 5595430464.

The previous prime is 18200030417. The next prime is 18200030473. The reversal of 18200030472 is 27403000281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15561564516 + 2638465956 = 124746^2 + 51366^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95394.

It is a super-2 number, since 2×182000304722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18200030473) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14880853 + ... + 14882075.

Almost surely, 218200030472 is an apocalyptic number.

18200030472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18200030472

18200030472 is an abundant number, since it is smaller than the sum of its proper divisors (35218737333).

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

18200030472 is a wasteful number, since it uses less digits than its factorization.

18200030472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 18200030472 in words is "eighteen billion, two hundred million, thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1223 1352 1521 2028 2446 3042 3669 4056 4892 6084 7338 9784 11007 12168 14676 15899 22014 29352 31798 44028 47697 63596 88056 95394 127192 143091 190788 206687 286182 381576 413374 572364 620061 826748 1144728 1240122 1495729 1653496 1860183 2480244 2991458 3720366 4487187 4960488 5982916 7440732 8974374 11965832 13461561 14881464 17948748 19444477 26923122 35897496 38888954 53846244 58333431 77777908 107692488 116666862 155555816 175000293 233333724 252778201 350000586 466667448 505556402 700001172 758334603 1011112804 1400002344 1516669206 2022225608 2275003809 3033338412 4550007618 6066676824 9100015236 18200030472