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46722550644 = 22327111729179191
BaseRepresentation
bin101011100000111000…
…011000101101110100
311110121011201111022200
4223200320120231310
51231141433110034
633244122224500
73242554061550
oct534070305564
9143534644280
1046722550644
11188a6730920
12907b355130
134537a54a93
142393344860
151336c98a99
hexae0e18b74

46722550644 has 576 divisors, whose sum is σ = 163034726400. Its totient is φ = 10908979200.

The previous prime is 46722550639. The next prime is 46722550669. The reversal of 46722550644 is 44605522764.

It is a super-2 number, since 2×467225506442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46722550644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244620589 + ... + 244620779.

It is an arithmetic number, because the mean of its divisors is an integer number (283046400).

Almost surely, 246722550644 is an apocalyptic number.

46722550644 is a gapful number since it is divisible by the number (44) 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 46722550644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81517363200).

46722550644 is an abundant number, since it is smaller than the sum of its proper divisors (116312175756).

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

46722550644 is a wasteful number, since it uses less digits than its factorization.

46722550644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 46722550644 in words is "forty-six billion, seven hundred twenty-two million, five hundred fifty thousand, six hundred forty-four".