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60448000113 = 33291573131571
BaseRepresentation
bin111000010010111110…
…110100100001110001
312210000201120120101000
4320102332310201301
51442244142000423
643434110232213
74236646344324
oct702276644161
9183021516330
1060448000113
11236aa358196
12b86bab5669
135914506807
142cd61907bb
15188bc48843
hexe12fb4871

60448000113 has 64 divisors (see below), whose sum is σ = 93588076800. Its totient is φ = 38513180160.

The previous prime is 60448000073. The next prime is 60448000117. The reversal of 60448000113 is 31100084406.

60448000113 is a `hidden beast` number, since 604 + 48 + 0 + 0 + 0 + 1 + 13 = 666.

60448000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 60448000113 - 218 = 60447737969 is a prime.

It is a super-2 number, since 2×604480001132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60448000117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38476618 + ... + 38478188.

It is an arithmetic number, because the mean of its divisors is an integer number (1462313700).

Almost surely, 260448000113 is an apocalyptic number.

It is an amenable number.

60448000113 is a deficient number, since it is larger than the sum of its proper divisors (33140076687).

60448000113 is a wasteful number, since it uses less digits than its factorization.

60448000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 60448000113 its reverse (31100084406), we get a palindrome (91548084519).

The spelling of 60448000113 in words is "sixty billion, four hundred forty-eight million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 29 87 157 261 313 471 783 939 1413 1571 2817 4239 4553 4713 8451 9077 13659 14139 27231 40977 42417 45559 49141 81693 122931 136677 147423 245079 246647 410031 442269 491723 739941 1230093 1326807 1425089 1475169 2219823 4275267 4425507 6659469 7152763 12825801 13276521 14259967 21458289 38477403 42779901 64374867 77200511 128339703 193124601 231601533 385019109 694804599 2084413797 2238814819 6716444457 20149333371 60448000113