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10450204020 = 2232561951749
BaseRepresentation
bin10011011101110000…
…10111010101110100
3222222021220100221100
421232320113111310
5132400223012040
64444544050100
7516652161054
oct115670272564
928867810840
1010450204020
11448295aa53
122037903930
13ca7058c99
14711c75564
1541268bb30
hex26ee17574

10450204020 has 72 divisors (see below), whose sum is σ = 32218641000. Its totient is φ = 2741034240.

The previous prime is 10450203997. The next prime is 10450204021. The reversal of 10450204020 is 2040205401.

10450204020 is a `hidden beast` number, since 10 + 450 + 204 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 243547236 + 10206656784 = 15606^2 + 101028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10450203984 and 10450204002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450204021) 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, 464895 + ... + 486854.

It is an arithmetic number, because the mean of its divisors is an integer number (447481125).

Almost surely, 210450204020 is an apocalyptic number.

10450204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10450204020 is an abundant number, since it is smaller than the sum of its proper divisors (21768436980).

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

10450204020 is a wasteful number, since it uses less digits than its factorization.

10450204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951825 (or 951820 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10450204020 its reverse (2040205401), we get a palindrome (12490409421).

The spelling of 10450204020 in words is "ten billion, four hundred fifty million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 951749 1903498 2855247 3806996 4758745 5710494 8565741 9517490 11420988 14276235 17131482 19034980 28552470 34262964 42828705 57104940 58056689 85657410 116113378 171314820 174170067 232226756 290283445 348340134 522510201 580566890 696680268 870850335 1045020402 1161133780 1741700670 2090040804 2612551005 3483401340 5225102010 10450204020