Search a number
-
+
39970416100 = 22521429279709
BaseRepresentation
bin100101001110011011…
…000010010111100100
310211011121101112000111
4211032123002113210
51123324411303400
630210120422404
72613334634236
oct451633022744
9124147345014
1039970416100
1115a5129223a
1278b6017a04
1339ccbc4ab4
141d126aa256
15108e0e13ba
hex94e6c25e4

39970416100 has 36 divisors (see below), whose sum is σ = 86796810100. Its totient is φ = 15976920960.

The previous prime is 39970416053. The next prime is 39970416121. The reversal of 39970416100 is 161407993.

It can be written as a sum of positive squares in 6 ways, for example, as 1170871524 + 38799544576 = 34218^2 + 196976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 282754.

Almost surely, 239970416100 is an apocalyptic number.

It is an amenable number.

39970416100 is an abundant number, since it is smaller than the sum of its proper divisors (46826394000).

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

39970416100 is a wasteful number, since it uses less digits than its factorization.

39970416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281152 (or 281145 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 39970416100 in words is "thirty-nine billion, nine hundred seventy million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1429 2858 5716 7145 14290 28580 35725 71450 142900 279709 559418 1118836 1398545 2797090 5594180 6992725 13985450 27970900 399704161 799408322 1598816644 1998520805 3997041610 7994083220 9992604025 19985208050 39970416100