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42470113024 = 282950911239
BaseRepresentation
bin100111100011011010…
…100111111100000000
311001121211000021120001
4213203122213330000
51143434322104044
631302133525344
73032310001333
oct474332477400
9131554007501
1042470113024
11170142a9569
1282931a3854
13400aa492c1
1420ac67c61a
1511887ac2d4
hex9e36a7f00

42470113024 has 72 divisors (see below), whose sum is σ = 87877692000. Its totient is φ = 20460711936.

The previous prime is 42470113013. The next prime is 42470113027. The reversal of 42470113024 is 42031107424.

42470113024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42470112983 and 42470113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42470113027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3773197 + ... + 3784435.

It is an arithmetic number, because the mean of its divisors is an integer number (1220523500).

Almost surely, 242470113024 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 42470113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43938846000).

42470113024 is an abundant number, since it is smaller than the sum of its proper divisors (45407578976).

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

42470113024 is a wasteful number, since it uses less digits than its factorization.

42470113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793 (or 11779 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 42470113024 in words is "forty-two billion, four hundred seventy million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 509 928 1018 1856 2036 3712 4072 7424 8144 11239 14761 16288 22478 29522 32576 44956 59044 65152 89912 118088 130304 179824 236176 325931 359648 472352 651862 719296 944704 1303724 1438592 1889408 2607448 2877184 3778816 5214896 5720651 10429792 11441302 20859584 22882604 41719168 45765208 83438336 91530416 165898879 183060832 331797758 366121664 663595516 732243328 1327191032 1464486656 2654382064 5308764128 10617528256 21235056512 42470113024