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42680653060 = 22531257277967
BaseRepresentation
bin100111101111111101…
…110001010100000100
311002011111011211012011
4213233331301110010
51144402221344220
631335054304004
73040444364563
oct475775612404
9132144154164
1042680653060
11171121303a1
1283317b8004
134042553bc6
1420cc605bda
15119bee965a
hex9eff71504

42680653060 has 96 divisors (see below), whose sum is σ = 93312350208. Its totient is φ = 16380887040.

The previous prime is 42680653039. The next prime is 42680653069. The reversal of 42680653060 is 6035608624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42680653069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44136697 + ... + 44137663.

It is an arithmetic number, because the mean of its divisors is an integer number (972003648).

Almost surely, 242680653060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42680653060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656175104).

42680653060 is an abundant number, since it is smaller than the sum of its proper divisors (50631697148).

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

42680653060 is a wasteful number, since it uses less digits than its factorization.

42680653060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 42680653060 in words is "forty-two billion, six hundred eighty million, six hundred fifty-three thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 257 277 310 514 554 620 967 1028 1108 1285 1385 1934 2570 2770 3868 4835 5140 5540 7967 8587 9670 15934 17174 19340 29977 31868 34348 39835 42935 59954 71189 79670 85870 119908 142378 149885 159340 171740 248519 267859 284756 299770 355945 497038 535718 599540 711890 994076 1071436 1242595 1339295 1423780 2206859 2485190 2678590 4413718 4970380 5357180 7704089 8303629 8827436 11034295 15408178 16607258 22068590 30816356 33214516 38520445 41518145 44137180 68839763 77040890 83036290 137679526 154081780 166072580 275359052 344198815 688397630 1376795260 2134032653 4268065306 8536130612 10670163265 21340326530 42680653060