Search a number
-
+
75693795340 = 2252329417603
BaseRepresentation
bin100011001111110110…
…0111010100000001100
321020101020020012201111
41012133230322200030
52220010102422330
654435004421404
75316522434032
oct1063754724014
9236336205644
1075693795340
112a1131a0859
1212805847864
1371a3c52417
143940cb8552
151e8041132a
hex119fb3a80c

75693795340 has 72 divisors (see below), whose sum is σ = 166367094768. Its totient is φ = 28926522240.

The previous prime is 75693795337. The next prime is 75693795341. The reversal of 75693795340 is 4359739657.

It is not an unprimeable number, because it can be changed into a prime (75693795341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951979 + ... + 9959581.

It is an arithmetic number, because the mean of its divisors is an integer number (2310654094).

Almost surely, 275693795340 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 75693795340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83183547384).

75693795340 is an abundant number, since it is smaller than the sum of its proper divisors (90673299428).

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

75693795340 is a wasteful number, since it uses less digits than its factorization.

75693795340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 58.

The spelling of 75693795340 in words is "seventy-five billion, six hundred ninety-three million, seven hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 941 1058 1882 2116 2645 3764 4705 5290 7603 9410 10580 15206 18820 21643 30412 38015 43286 76030 86572 108215 152060 174869 216430 349738 432860 497789 699476 874345 995578 1748690 1991156 2488945 3497380 4021987 4977890 7154423 8043974 9955780 14308846 16087948 20109935 28617692 35772115 40219870 71544230 80439740 143088460 164551729 329103458 658206916 822758645 1645517290 3291034580 3784689767 7569379534 15138759068 18923448835 37846897670 75693795340