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46040818973520 = 24357279127938747
BaseRepresentation
bin10100111011111101101101…
…01010001111101101010000
320001000110101211120021011210
422131332312222033231100
522013313044124123040
6241530505451340120
712461224262104500
oct1235766652175520
9201013354507153
1046040818973520
1113740890035488
1251b7029151640
131c8c827573b17
14b5255d53da00
1554c962510480
hex29dfb6a8fb50

46040818973520 has 480 divisors, whose sum is σ = 168266258841600. Its totient is φ = 10382013637632.

The previous prime is 46040818973503. The next prime is 46040818973521. The reversal of 46040818973520 is 2537981804064.

It is a happy number.

46040818973520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460408189735202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46040818973521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1188222787 + ... + 1188261533.

It is an arithmetic number, because the mean of its divisors is an integer number (350554705920).

It is a 1-persistent number, because it is pandigital, but 2⋅46040818973520 = 92081637947040 is not.

Almost surely, 246040818973520 is an apocalyptic number.

46040818973520 is a gapful number since it is divisible by the number (40) 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 46040818973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84133129420800).

46040818973520 is an abundant number, since it is smaller than the sum of its proper divisors (122225439868080).

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

46040818973520 is a wasteful number, since it uses less digits than its factorization.

46040818973520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40135 (or 40122 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 46040818973520 in words is "forty-six trillion, forty billion, eight hundred eighteen million, nine hundred seventy-three thousand, five hundred twenty".