Search a number
-
+
400018019652 = 2232101367299771
BaseRepresentation
bin1011101001000101110…
…11101001010101000100
31102020111221110212022100
411310202323221111010
523023214103112102
6503433222232100
740620551031306
oct5644273512504
91366457425270
10400018019652
1114471281a879
1265639285630
132b94c2aa264
141550a733976
15a6132a7a1c
hex5d22ee9544

400018019652 has 72 divisors (see below), whose sum is σ = 1023954003072. Its totient is φ = 131658984000.

The previous prime is 400018019651. The next prime is 400018019669. The reversal of 400018019652 is 256910810004.

400018019652 is a `hidden beast` number, since 400 + 0 + 18 + 0 + 196 + 52 = 666.

It is a super-2 number, since 2×4000180196522 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (400018019651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184527 + ... + 1484297.

It is an arithmetic number, because the mean of its divisors is an integer number (14221583376).

Almost surely, 2400018019652 is an apocalyptic number.

It is an amenable number.

400018019652 is an abundant number, since it is smaller than the sum of its proper divisors (623935983420).

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

400018019652 is a wasteful number, since it uses less digits than its factorization.

400018019652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300249 (or 300244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 400018019652 its reverse (256910810004), we get a palindrome (656928829656).

The spelling of 400018019652 in words is "four hundred billion, eighteen million, nineteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 367 404 606 734 909 1101 1212 1468 1818 2202 3303 3636 4404 6606 13212 37067 74134 111201 148268 222402 299771 333603 444804 599542 667206 899313 1199084 1334412 1798626 2697939 3597252 5395878 10791756 30276871 60553742 90830613 110015957 121107484 181661226 220031914 272491839 330047871 363322452 440063828 544983678 660095742 990143613 1089967356 1320191484 1980287226 3960574452 11111611657 22223223314 33334834971 44446446628 66669669942 100004504913 133339339884 200009009826 400018019652