Search a number
-
+
39950820000 = 253454713271
BaseRepresentation
bin100101001101010000…
…010010001010100000
310211010020111221020000
4211031100102022200
51123304402220000
630204140420000
72613006236610
oct451520221240
9124106457200
1039950820000
1115a41218413
1278ab547600
1339c8b23480
141d0dc48a40
15108c520000
hex94d4122a0

39950820000 has 1200 divisors, whose sum is σ = 181369343232. Its totient is φ = 8398080000.

The previous prime is 39950819983. The next prime is 39950820001. The reversal of 39950820000 is 2805993.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39950820001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 147419865 + ... + 147420135.

Almost surely, 239950820000 is an apocalyptic number.

39950820000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39950820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90684671616).

39950820000 is an abundant number, since it is smaller than the sum of its proper divisors (141418523232).

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

39950820000 is a wasteful number, since it uses less digits than its factorization.

39950820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 39950820000 in words is "thirty-nine billion, nine hundred fifty million, eight hundred twenty thousand".