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30390049418118 = 23132311516402577
BaseRepresentation
bin1101110100011101111000…
…00110011010101110000110
310222121021000210111012021020
412322032330012122232012
512440402310122334433
6144344555043532010
76254415516630345
oct672167406325606
9128537023435236
1030390049418118
1197573906a1a65
1234a996608a006
1313c5a003a3700
14770c59bb1b5c
1537a7acd26cb3
hex1ba3bc19ab86

30390049418118 has 96 divisors (see below), whose sum is σ = 68388138104832. Its totient is φ = 8989216704000.

The previous prime is 30390049418117. The next prime is 30390049418123. The reversal of 30390049418118 is 81181494009303.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30390049418117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545246 + ... + 7947822.

It is an arithmetic number, because the mean of its divisors is an integer number (712376438592).

Almost surely, 230390049418118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30390049418118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34194069052416).

30390049418118 is an abundant number, since it is smaller than the sum of its proper divisors (37998088686714).

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

30390049418118 is a wasteful number, since it uses less digits than its factorization.

30390049418118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402790 (or 6402777 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 30390049418118 in words is "thirty trillion, three hundred ninety billion, forty-nine million, four hundred eighteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 151 169 186 302 338 403 453 507 806 906 1014 1209 1963 2418 3926 4681 5239 5889 9362 10478 11778 14043 15717 25519 28086 31434 51038 60853 76557 121706 153114 182559 365118 791089 1582178 2373267 4746534 6402577 12805154 19207731 38415462 83233501 166467002 198479887 249700503 396959774 499401006 595439661 966789127 1082035513 1190879322 1933578254 2164071026 2580238531 2900367381 3246106539 5160477062 5800734762 6492213078 7740715593 12568258651 15481431186 25136517302 29970462937 33543100903 37704775953 59940925874 67086201806 75409551906 89911388811 100629302709 163387362463 179822777622 201258605418 326774724926 389616018181 490162087389 779232036362 980324174778 1168848054543 2337696109086 5065008236353 10130016472706 15195024709059 30390049418118