Search a number
-
+
35730420000 = 2535411431259
BaseRepresentation
bin100001010001101100…
…101111000100100000
310102020010002101210220
4201101230233010200
51041133441420000
624225254523040
72403301362462
oct412154570440
9112203071726
1035730420000
1114175988430
126b12066480
1334a5654272
141a2d522132
15de1c611a0
hex851b2f120

35730420000 has 480 divisors, whose sum is σ = 130935087360. Its totient is φ = 8453760000.

The previous prime is 35730419971. The next prime is 35730420109. The reversal of 35730420000 is 2403753.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28379371 + ... + 28380629.

It is an arithmetic number, because the mean of its divisors is an integer number (272781432).

Almost surely, 235730420000 is an apocalyptic number.

35730420000 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 35730420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65467543680).

35730420000 is an abundant number, since it is smaller than the sum of its proper divisors (95204667360).

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

35730420000 is a wasteful number, since it uses less digits than its factorization.

35730420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

Adding to 35730420000 its reverse (2403753), we get a palindrome (35732823753).

The spelling of 35730420000 in words is "thirty-five billion, seven hundred thirty million, four hundred twenty thousand".