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60041000657 = 11229531132857
BaseRepresentation
bin110111111010101110…
…001111011011010001
312201222100201212002002
4313322232033123101
51440430444010112
643325451003345
74223605041101
oct677256173321
9181870655062
1060041000657
1123510641500
12b777739555
13587b0b4331
142c980c7201
1518661511c2
hexdfab8f6d1

60041000657 has 48 divisors (see below), whose sum is σ = 70199453520. Its totient is φ = 51230699520.

The previous prime is 60041000651. The next prime is 60041000659. The reversal of 60041000657 is 75600014006.

It can be written as a sum of positive squares in 8 ways, for example, as 734626816 + 59306373841 = 27104^2 + 243529^2 .

It is not a de Polignac number, because 60041000657 - 222 = 60036806353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 60041000657 parts by 346528 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60041000651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21013973 + ... + 21016829.

It is an arithmetic number, because the mean of its divisors is an integer number (1462488615).

Almost surely, 260041000657 is an apocalyptic number.

It is an amenable number.

60041000657 is a deficient number, since it is larger than the sum of its proper divisors (10158452863).

60041000657 is a wasteful number, since it uses less digits than its factorization.

60041000657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 60041000657 in words is "sixty billion, forty-one million, six hundred fifty-seven", and thus it is an aban number.

Divisors: 1 11 29 53 113 121 319 583 1243 1537 2857 3277 3509 5989 6413 13673 16907 31427 36047 65879 82853 151421 173681 185977 322841 345697 396517 724669 911383 1665631 1910491 3551251 4391209 9362389 10025213 17110573 18321941 21015401 39063761 48303299 102986279 188216303 496206617 531336289 1132849069 2070379333 5458272787 60041000657