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60142167120 = 2435758396131
BaseRepresentation
bin111000000000110000…
…001010010001010000
312202020102002122101010
4320000300022101100
51441132343321440
643343503210520
74226243662050
oct700060122120
9182212078333
1060142167120
112356275a352
12b7a55a6a40
135896045a49
142ca76dd560
15186ee86580
hexe00c0a450

60142167120 has 160 divisors (see below), whose sum is σ = 213146357760. Its totient is φ = 13742184960.

The previous prime is 60142167103. The next prime is 60142167139. The reversal of 60142167120 is 2176124106.

It is a Cunningham number, because it is equal to 2452392-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9806455 + ... + 9812585.

It is an arithmetic number, because the mean of its divisors is an integer number (1332164736).

Almost surely, 260142167120 is an apocalyptic number.

60142167120 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 60142167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106573178880).

60142167120 is an abundant number, since it is smaller than the sum of its proper divisors (153004190640).

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

60142167120 is a wasteful number, since it uses less digits than its factorization.

60142167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 60142167120 in words is "sixty billion, one hundred forty-two million, one hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5839 6131 11678 12262 17517 18393 23356 24524 29195 30655 35034 36786 40873 42917 46712 49048 58390 61310 70068 73572 81746 85834 87585 91965 93424 98096 116780 122619 122620 128751 140136 147144 163492 171668 175170 183930 204365 214585 233560 245238 245240 257502 280272 294288 326984 343336 350340 367860 408730 429170 467120 490476 490480 515004 613095 643755 653968 686672 700680 735720 817460 858340 980952 1030008 1226190 1287510 1401360 1471440 1634920 1716680 1961904 2060016 2452380 2575020 3269840 3433360 4904760 5150040 9809520 10300080 35798909 71597818 107396727 143195636 178994545 214793454 250592363 286391272 357989090 429586908 501184726 536983635 572782544 715978180 751777089 859173816 1002369452 1073967270 1252961815 1431956360 1503554178 1718347632 2004738904 2147934540 2505923630 2863912720 3007108356 3758885445 4009477808 4295869080 5011847260 6014216712 7517770890 8591738160 10023694520 12028433424 15035541780 20047389040 30071083560 60142167120