Search a number
-
+
60268470138 = 232315319310559
BaseRepresentation
bin111000001000010001…
…111101111101111010
312202120012202111112200
4320020101331331322
51441412212021023
643404214251030
74232336354322
oct701021757572
9182505674480
1060268470138
1123617a86708
12b81b956a76
1358b6268866
142cba3ba282
15187b0d4743
hexe0847df7a

60268470138 has 96 divisors (see below), whose sum is σ = 138061946880. Its totient is φ = 18973992960.

The previous prime is 60268470137. The next prime is 60268470139. The reversal of 60268470138 is 83107486206.

60268470138 is a `hidden beast` number, since 602 + 6 + 8 + 4 + 7 + 0 + 1 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (60268470137) and next prime (60268470139).

It is a junction number, because it is equal to n+sod(n) for n = 60268470093 and 60268470102.

It is not an unprimeable number, because it can be changed into a prime (60268470137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5702503 + ... + 5713061.

It is an arithmetic number, because the mean of its divisors is an integer number (1438145280).

Almost surely, 260268470138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60268470138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69030973440).

60268470138 is an abundant number, since it is smaller than the sum of its proper divisors (77793476742).

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

60268470138 is a wasteful number, since it uses less digits than its factorization.

60268470138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 60268470138 in words is "sixty billion, two hundred sixty-eight million, four hundred seventy thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 193 279 318 386 477 558 579 954 1158 1643 1737 3286 3474 4929 5983 9858 10229 10559 11966 14787 17949 20458 21118 29574 30687 31677 35898 53847 61374 63354 92061 95031 107694 184122 190062 317099 327329 559627 634198 654658 951297 981987 1119254 1678881 1902594 1963974 2037887 2853891 2945961 3357762 4075774 5036643 5707782 5891922 6113661 10073286 12227322 17348437 18340983 34696874 36681966 52045311 63174497 104090622 108008011 126348994 156135933 189523491 216016022 312271866 324024033 379046982 568570473 648048066 972072099 1137140946 1944144198 3348248341 6696496682 10044745023 20089490046 30134235069 60268470138