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33149820000 = 253541150227
BaseRepresentation
bin11110110111111000…
…100001110001100000
310011120021020100010010
4132313320201301200
51020342323220000
623121231404520
72252324551353
oct366770416140
9104507210103
1033149820000
1113071233460
126511983740
133183b1460b
1418668d029a
15ce0413d50
hex7b7e21c60

33149820000 has 240 divisors, whose sum is σ = 118625677632. Its totient is φ = 8036160000.

The previous prime is 33149819981. The next prime is 33149820017. The reversal of 33149820000 is 2894133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 33149820000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 634887 + ... + 685113.

Almost surely, 233149820000 is an apocalyptic number.

33149820000 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 33149820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59312838816).

33149820000 is an abundant number, since it is smaller than the sum of its proper divisors (85475857632).

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

33149820000 is a wasteful number, since it uses less digits than its factorization.

33149820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50271 (or 50248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 33149820000 in words is "thirty-three billion, one hundred forty-nine million, eight hundred twenty thousand".