Search a number
-
+
32935001088 = 2103114789233
BaseRepresentation
bin11110101011000101…
…000011110000000000
310011000022000101222010
4132223011003300000
51014422330013323
623044035212520
72244105614223
oct365305036000
9104008011863
1032935001088
1112a70a49870
126471a47140
13314b46c232
1418461715ba
15ccb62dc93
hex7ab143c00

32935001088 has 352 divisors, whose sum is σ = 99325025280. Its totient is φ = 9616752640.

The previous prime is 32935001053. The next prime is 32935001107. The reversal of 32935001088 is 88010053923.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×329350010882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141351820 + ... + 141352052.

Almost surely, 232935001088 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 32935001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49662512640).

32935001088 is an abundant number, since it is smaller than the sum of its proper divisors (66390024192).

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

32935001088 is a wasteful number, since it uses less digits than its factorization.

32935001088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 32935001088 in words is "thirty-two billion, nine hundred thirty-five million, one thousand, eighty-eight".