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60157863441 = 321321923312
BaseRepresentation
bin111000000001101100…
…000010011000010001
312202021111122002200100
4320001230002120101
51441200403112231
643345223443013
74226524254654
oct700154023021
9182244562610
1060157863441
1123570600215
12b7aa8b6469
135899380300
142ca982789b
1518715371e6
hexe01b02611

60157863441 has 81 divisors (see below), whose sum is σ = 99606905307. Its totient is φ = 34965833760.

The previous prime is 60157863343. The next prime is 60157863443. The reversal of 60157863441 is 14436875106.

The square root of 60157863441 is 245271.

It is a perfect power (a square), and thus also a powerful number.

60157863441 is a `hidden beast` number, since 6 + 0 + 1 + 5 + 7 + 8 + 634 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8899092225 + 51258771216 = 94335^2 + 226404^2 .

It is not a de Polignac number, because 60157863441 - 27 = 60157863313 is a prime.

It is a super-3 number, since 3×601578634413 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (60157863443) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 181745646 + ... + 181745976.

Almost surely, 260157863441 is an apocalyptic number.

60157863441 is the 245271-st square number.

60157863441 is the 122636-th centered octagonal number.

It is an amenable number.

60157863441 is a deficient number, since it is larger than the sum of its proper divisors (39449041866).

60157863441 is a wasteful number, since it uses less digits than its factorization.

60157863441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 60157863441 in words is "sixty billion, one hundred fifty-seven million, eight hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 331 361 507 741 993 1083 1521 2223 2979 3211 3249 4303 4693 6289 9633 12909 14079 18867 28899 38727 42237 55939 56601 61009 81757 109561 119491 167817 183027 245271 328683 358473 503451 549081 735813 986049 1062841 1075419 1424293 1553383 2081659 3188523 4272879 4660149 6244977 9565569 12818637 13980447 18515809 18734931 20193979 27061567 39551521 55547427 60581937 81184701 118654563 166642281 181745811 243554103 351800371 355963689 514169773 1055401113 1542509319 3166203339 4627527957 6684207049 20052621147 60157863441