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30180028176 = 24323124672
BaseRepresentation
bin11100000110110111…
…101010111100010000
32212220022001021121100
4130012313222330100
5443302041400201
621510422424400
72115614002224
oct340667527420
985808037540
1030180028176
1111887925951
125a23292100
132acc778a4c
14166430c784
15bb983a886
hex706deaf10

30180028176 has 135 divisors (see below), whose sum is σ = 87461921703. Its totient is φ = 9714646080.

The previous prime is 30180028171. The next prime is 30180028181. The reversal of 30180028176 is 67182008103.

The square root of 30180028176 is 173724.

It is a perfect power (a square), and thus also a powerful number.

30180028176 is a `hidden beast` number, since 301 + 8 + 0 + 0 + 281 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (30180028171) and next prime (30180028181).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30180028176.

It is not an unprimeable number, because it can be changed into a prime (30180028171) 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, 64625095 + ... + 64625561.

Almost surely, 230180028176 is an apocalyptic number.

30180028176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30180028176 is the 173724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30180028176

30180028176 is an abundant number, since it is smaller than the sum of its proper divisors (57281893527).

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

30180028176 is an equidigital number, since it uses as much as digits as its factorization.

30180028176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 30180028176 by its sum of digits (36), we get a square (1086481014336 = 10423442).

30180028176 divided by its sum of digits (36) gives a square (838334116 = 289542).

The spelling of 30180028176 in words is "thirty billion, one hundred eighty million, twenty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 467 496 558 744 934 961 1116 1401 1488 1868 1922 2232 2802 2883 3736 3844 4203 4464 5604 5766 7472 7688 8406 8649 11208 11532 14477 15376 16812 17298 22416 23064 28954 33624 34596 43431 46128 57908 67248 69192 86862 115816 130293 138384 173724 218089 231632 260586 347448 436178 448787 521172 654267 694896 872356 897574 1042344 1308534 1346361 1744712 1795148 1962801 2084688 2617068 2692722 3489424 3590296 3925602 4039083 5234136 5385444 6760759 7180592 7851204 8078166 10468272 10770888 13521518 15702408 16156332 20282277 21541776 27043036 31404816 32312664 40564554 54086072 60846831 64625328 81129108 108172144 121693662 162258216 209583529 243387324 324516432 419167058 486774648 628750587 838334116 973549296 1257501174 1676668232 1886251761 2515002348 3353336464 3772503522 5030004696 7545007044 10060009392 15090014088 30180028176