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30109955544 = 23324712377193
BaseRepresentation
bin11100000010101100…
…010111010111011000
32212201102012020000200
4130002230113113120
5443131122034134
621455440502200
72114103253644
oct340254272730
985642166020
1030109955544
1111851315289
125a0391a960
132abb0b3156
141658cabc24
15bb35e8499
hex702b175d8

30109955544 has 96 divisors (see below), whose sum is σ = 83361769920. Its totient is φ = 9813800448.

The previous prime is 30109955509. The next prime is 30109955581. The reversal of 30109955544 is 44555990103.

30109955544 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 9 + 95 + 554 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30109955544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4182412 + ... + 4189604.

It is an arithmetic number, because the mean of its divisors is an integer number (868351770).

Almost surely, 230109955544 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 30109955544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41680884960).

30109955544 is an abundant number, since it is smaller than the sum of its proper divisors (53251814376).

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

30109955544 is a wasteful number, since it uses less digits than its factorization.

30109955544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 30109955544 in words is "thirty billion, one hundred nine million, nine hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1237 1692 2474 3384 3711 4948 7193 7422 9896 11133 14386 14844 21579 22266 28772 29688 43158 44532 57544 58139 64737 86316 89064 116278 129474 172632 174417 232556 258948 338071 348834 465112 517896 523251 676142 697668 1014213 1046502 1352284 1395336 2028426 2093004 2704568 3042639 4056852 4186008 6085278 8113704 8897741 12170556 17795482 24341112 26693223 35590964 53386446 71181928 80079669 106772892 160159338 213545784 320318676 418193827 640637352 836387654 1254581481 1672775308 2509162962 3345550616 3763744443 5018325924 7527488886 10036651848 15054977772 30109955544