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242737005060 = 2232511259347279
BaseRepresentation
bin1110001000010001000…
…0001100001000000100
3212012112202111111002200
43202010100030020010
512434111133130220
6303302320234500
723352151333254
oct3420420141004
9765482444080
10242737005060
1193a427906a0
123b06416ba30
1319b75443754
14ba69d95964
1564aa3a0890
hex388440c204

242737005060 has 144 divisors (see below), whose sum is σ = 803565584640. Its totient is φ = 58821396480.

The previous prime is 242737005053. The next prime is 242737005061. The reversal of 242737005060 is 60500737242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242737005061) 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, 5110501 + ... + 5157779.

It is an arithmetic number, because the mean of its divisors is an integer number (5580316560).

Almost surely, 2242737005060 is an apocalyptic number.

242737005060 is a gapful number since it is divisible by the number (20) 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 242737005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401782792320).

242737005060 is an abundant number, since it is smaller than the sum of its proper divisors (560828579580).

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

242737005060 is a wasteful number, since it uses less digits than its factorization.

242737005060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49898 (or 49893 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 242737005060 in words is "two hundred forty-two billion, seven hundred thirty-seven million, five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2593 5186 7779 10372 12965 15558 23337 25930 28523 31116 38895 46674 47279 51860 57046 77790 85569 93348 94558 114092 116685 141837 142615 155580 171138 189116 233370 236395 256707 283674 285230 342276 425511 427845 466740 472790 513414 520069 567348 570460 709185 851022 855690 945580 1026828 1040138 1283535 1418370 1560207 1702044 1711380 2080276 2127555 2567070 2600345 2836740 3120414 4255110 4680621 5134140 5200690 6240828 7801035 8510220 9361242 10401380 15602070 18722484 23403105 31204140 46806210 93612420 122594447 245188894 367783341 490377788 612972235 735566682 1103350023 1225944470 1348538917 1471133364 1838916705 2206700046 2451888940 2697077834 3677833410 4045616751 4413400092 5394155668 5516750115 6742694585 7355666820 8091233502 11033500230 12136850253 13485389170 16182467004 20228083755 22067000460 24273700506 26970778340 40456167510 48547401012 60684251265 80912335020 121368502530 242737005060