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18730329480 = 23325101351361
BaseRepresentation
bin10001011100011010…
…100010010110001000
31210100100102022201200
4101130122202112020
5301324431020410
612334331544200
71232104113402
oct213432422610
953310368650
1018730329480
117a41867845
1237688bb060
1319c662b8c5
14c9981bb72
1574956c3c0
hex45c6a2588

18730329480 has 96 divisors (see below), whose sum is σ = 60934849560. Its totient is φ = 4989726720.

The previous prime is 18730329469. The next prime is 18730329481. The reversal of 18730329480 is 8492303781.

18730329480 is a `hidden beast` number, since 187 + 303 + 2 + 94 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3410326404 + 15320003076 = 58398^2 + 123774^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18730329481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339000 + ... + 390360.

Almost surely, 218730329480 is an apocalyptic number.

18730329480 is a gapful number since it is divisible by the number (10) 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 18730329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30467424780).

18730329480 is an abundant number, since it is smaller than the sum of its proper divisors (42204520080).

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

18730329480 is a wasteful number, since it uses less digits than its factorization.

18730329480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52391 (or 52384 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18730329480 in words is "eighteen billion, seven hundred thirty million, three hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1013 2026 3039 4052 5065 6078 8104 9117 10130 12156 15195 18234 20260 24312 30390 36468 40520 45585 51361 60780 72936 91170 102722 121560 154083 182340 205444 256805 308166 364680 410888 462249 513610 616332 770415 924498 1027220 1232664 1540830 1848996 2054440 2311245 3081660 3697992 4622490 6163320 9244980 18489960 52028693 104057386 156086079 208114772 260143465 312172158 416229544 468258237 520286930 624344316 780430395 936516474 1040573860 1248688632 1560860790 1873032948 2081147720 2341291185 3121721580 3746065896 4682582370 6243443160 9365164740 18730329480