Search a number
-
+
69030033408 = 211337273349
BaseRepresentation
bin100000001001010000…
…0101011100000000000
320121011211012000212000
41000102200223200000
52112333142032113
651413441104000
74662425413500
oct1002240534000
9217154160760
1069030033408
1127303721896
1211466028000
1366814c471b
1434abc85a00
151be03b3373
hex101282b800

69030033408 has 576 divisors, whose sum is σ = 241817940000. Its totient is φ = 19396952064.

The previous prime is 69030033353. The next prime is 69030033419. The reversal of 69030033408 is 80433003096.

69030033408 is a `hidden beast` number, since 6 + 9 + 0 + 300 + 3 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197793618 + ... + 197793966.

Almost surely, 269030033408 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 69030033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120908970000).

69030033408 is an abundant number, since it is smaller than the sum of its proper divisors (172787906592).

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

69030033408 is a wasteful number, since it uses less digits than its factorization.

69030033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 69030033408 in words is "sixty-nine billion, thirty million, thirty-three thousand, four hundred eight".