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42013167900 = 223521115184313
BaseRepresentation
bin100111001000001011…
…100001000100011100
311000102222012001200120
4213020023201010130
51142020332333100
631144531554540
73015061014654
oct471013410434
9130388161616
1042013167900
11168aa379970
12818615ba50
133c6718a382
142067ad3364
15115d5eb0a0
hex9c82e111c

42013167900 has 144 divisors (see below), whose sum is σ = 133488622848. Its totient is φ = 10117440000.

The previous prime is 42013167887. The next prime is 42013167901. The reversal of 42013167900 is 976131024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013167901) 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, 456144 + ... + 540456.

Almost surely, 242013167900 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 42013167900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66744311424).

42013167900 is an abundant number, since it is smaller than the sum of its proper divisors (91475454948).

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

42013167900 is a wasteful number, since it uses less digits than its factorization.

42013167900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84492 (or 84485 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

Adding to 42013167900 its reverse (976131024), we get a palindrome (42989298924).

The spelling of 42013167900 in words is "forty-two billion, thirteen million, one hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 151 165 220 275 300 302 330 453 550 604 660 755 825 906 1100 1510 1650 1661 1812 2265 3020 3300 3322 3775 4530 4983 6644 7550 8305 9060 9966 11325 15100 16610 19932 22650 24915 33220 41525 45300 49830 83050 84313 99660 124575 166100 168626 249150 252939 337252 421565 498300 505878 843130 927443 1011756 1264695 1686260 1854886 2107825 2529390 2782329 3709772 4215650 4637215 5058780 5564658 6323475 8431300 9274430 11129316 12646950 12731263 13911645 18548860 23186075 25293900 25462526 27823290 38193789 46372150 50925052 55646580 63656315 69558225 76387578 92744300 127312630 139116450 140043893 152775156 190968945 254625260 278232900 280087786 318281575 381937890 420131679 560175572 636563150 700219465 763875780 840263358 954844725 1273126300 1400438930 1680526716 1909689450 2100658395 2800877860 3501097325 3819378900 4201316790 7002194650 8402633580 10503291975 14004389300 21006583950 42013167900