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10055402021808 = 243311413294217
BaseRepresentation
bin1001001001010011010010…
…1010100110001110110000
31022121021202020220120021000
42102110310222212032300
52304221430404144213
633215215442402000
72055323143636623
oct222246452461660
938537666816230
1010055402021808
113227521330000
121164979960300
1357c2b3125750
1426a98108ddba
1512686dba1c73
hex92534aa63b0

10055402021808 has 800 divisors, whose sum is σ = 35378407512000. Its totient is φ = 2715066224640.

The previous prime is 10055402021761. The next prime is 10055402021851. The reversal of 10055402021808 is 80812020455001.

10055402021808 is a `hidden beast` number, since 1 + 0 + 0 + 554 + 0 + 2 + 0 + 21 + 80 + 8 = 666.

It is a super-2 number, since 2×100554020218082 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2384489716 + ... + 2384493932.

It is an arithmetic number, because the mean of its divisors is an integer number (44223009390).

Almost surely, 210055402021808 is an apocalyptic number.

10055402021808 is a gapful number since it is divisible by the number (18) 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 10055402021808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689203756000).

10055402021808 is an abundant number, since it is smaller than the sum of its proper divisors (25323005490192).

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

10055402021808 is a wasteful number, since it uses less digits than its factorization.

10055402021808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 10055402021808 its reverse (80812020455001), we get a palindrome (90867422476809).

The spelling of 10055402021808 in words is "ten trillion, fifty-five billion, four hundred two million, twenty-one thousand, eight hundred eight".