Search a number
-
+
60077244120 = 233526910691741
BaseRepresentation
bin110111111100111000…
…011111111011011000
312202001212221012202120
4313330320133323120
51441014233302440
643333223501240
74224525102135
oct677470377330
9182055835676
1060077244120
112352a046783
12b7878b7820
13588576407a
142c9cc3d58c
15186940edd0
hexdfce1fed8

60077244120 has 128 divisors (see below), whose sum is σ = 181174968000. Its totient is φ = 15936952320.

The previous prime is 60077244109. The next prime is 60077244179. The reversal of 60077244120 is 2144277006.

It is a super-2 number, since 2×600772441202 (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 31 ways as a sum of consecutive naturals, for example, 34506450 + ... + 34508190.

Almost surely, 260077244120 is an apocalyptic number.

60077244120 is a gapful number since it is divisible by the number (60) 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 60077244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90587484000).

60077244120 is an abundant number, since it is smaller than the sum of its proper divisors (121097723880).

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

60077244120 is a wasteful number, since it uses less digits than its factorization.

60077244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 60077244120 in words is "sixty billion, seventy-seven million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1069 1076 1345 1614 1741 2138 2152 2690 3207 3228 3482 4035 4276 5223 5345 5380 6414 6456 6964 8070 8552 8705 10446 10690 10760 12828 13928 16035 16140 17410 20892 21380 25656 26115 32070 32280 34820 41784 42760 52230 64140 69640 104460 128280 208920 287561 468329 575122 862683 936658 1150244 1404987 1437805 1725366 1861129 1873316 2300488 2341645 2809974 2875610 3450732 3722258 3746632 4313415 4683290 5583387 5619948 5751220 6901464 7024935 7444516 8626830 9305645 9366580 11166774 11239896 11502440 14049870 14889032 17253660 18611290 18733160 22333548 27916935 28099740 34507320 37222580 44667096 55833870 56199480 74445160 111667740 223335480 500643701 1001287402 1501931103 2002574804 2503218505 3003862206 4005149608 5006437010 6007724412 7509655515 10012874020 12015448824 15019311030 20025748040 30038622060 60077244120