Search a number
-
+
60315063104 = 2623151271357
BaseRepresentation
bin111000001011000011…
…101101001101000000
312202200110102200002002
4320023003231031000
51442011124004404
643413001043132
74233443402012
oct701303551500
9182613380062
1060315063104
112364130a69a
12b8334864a8
1358c2b0026a
142cc26681b2
151880239c1e
hexe0b0ed340

60315063104 has 56 divisors (see below), whose sum is σ = 125719075968. Its totient is φ = 28655193600.

The previous prime is 60315063097. The next prime is 60315063121. The reversal of 60315063104 is 40136051306.

It is a happy number.

It is a super-2 number, since 2×603150631042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86594 + ... + 357950.

Almost surely, 260315063104 is an apocalyptic number.

60315063104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60315063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62859537984).

60315063104 is an abundant number, since it is smaller than the sum of its proper divisors (65404012864).

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

60315063104 is a wasteful number, since it uses less digits than its factorization.

60315063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271543 (or 271533 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 60315063104 in words is "sixty billion, three hundred fifteen million, sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 151 184 302 368 604 736 1208 1472 2416 3473 4832 6946 9664 13892 27784 55568 111136 222272 271357 542714 1085428 2170856 4341712 6241211 8683424 12482422 17366848 24964844 40974907 49929688 81949814 99859376 163899628 199718752 327799256 399437504 655598512 942422861 1311197024 1884845722 2622394048 3769691444 7539382888 15078765776 30157531552 60315063104