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550316413440 = 29325191257119
BaseRepresentation
bin10000000001000010110…
…10100001001000000000
31221121110111102100111200
420000201122201020000
533004022000212230
61100451210341200
754521232222303
oct10004132411000
91847414370450
10550316413440
111a242a2a5662
128a7a3a2a800
133cb82614391
141c8c799ab3a
15e4ad17a160
hex80216a1200

550316413440 has 240 divisors, whose sum is σ = 2006212665600. Its totient is φ = 139027193856.

The previous prime is 550316413433. The next prime is 550316413469. The reversal of 550316413440 is 44314613055.

550316413440 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 1 + 641 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 550316413395 and 550316413404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190800 + ... + 1066319.

It is an arithmetic number, because the mean of its divisors is an integer number (8359219440).

Almost surely, 2550316413440 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 550316413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003106332800).

550316413440 is an abundant number, since it is smaller than the sum of its proper divisors (1455896252160).

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

550316413440 is a wasteful number, since it uses less digits than its factorization.

550316413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257167 (or 1257148 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 550316413440 in words is "five hundred fifty billion, three hundred sixteen million, four hundred thirteen thousand, four hundred forty".