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48831142130937 = 3247719160556401
BaseRepresentation
bin10110001101001011000101…
…11000010111010011111001
320101220012201020212022122100
423012211202320113103321
522400022134341142222
6251504414512414013
713166635136441535
oct1306454270272371
9211805636768570
1048831142130937
11146171977869a1
125587976847309
1321329ac0127aa
14c0b6230b2bc5
1559a323ea74ac
hex2c6962e174f9

48831142130937 has 24 divisors (see below), whose sum is σ = 72134780290560. Its totient is φ = 31817140675200.

The previous prime is 48831142130867. The next prime is 48831142130951. The reversal of 48831142130937 is 73903124113884.

48831142130937 is a `hidden beast` number, since 4 + 88 + 311 + 4 + 213 + 0 + 9 + 37 = 666.

It is not a de Polignac number, because 48831142130937 - 211 = 48831142128889 is a prime.

It is a super-3 number, since 3×488311421309373 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48831142134937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79974064 + ... + 80582337.

It is an arithmetic number, because the mean of its divisors is an integer number (3005615845440).

Almost surely, 248831142130937 is an apocalyptic number.

48831142130937 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

48831142130937 is a deficient number, since it is larger than the sum of its proper divisors (23303638159623).

48831142130937 is a wasteful number, since it uses less digits than its factorization.

48831142130937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160557173 (or 160557170 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48831142130937 in words is "forty-eight trillion, eight hundred thirty-one billion, one hundred forty-two million, one hundred thirty thousand, nine hundred thirty-seven".

Divisors: 1 3 9 47 141 423 719 2157 6471 33793 101379 304137 160556401 481669203 1445007609 7546150847 22638452541 67915357623 115440052319 346320156957 1038960470871 5425682458993 16277047376979 48831142130937