Search a number
-
+
10009345932 = 223532092
BaseRepresentation
bin10010101001001101…
…00111111110001100
3221211120100110100000
421110212213332030
5130444343032212
64333115004300
7503020015365
oct112446477614
927746313300
1010009345932
114277018823
121b34139690
13c36910401
146ad4b6b6c
153d8b071dc
hex2549a7f8c

10009345932 has 54 divisors (see below), whose sum is σ = 26246670268. Its totient is φ = 3335408928.

The previous prime is 10009345897. The next prime is 10009345961. The reversal of 10009345932 is 23954390001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3117544 + ... + 3120752.

Almost surely, 210009345932 is an apocalyptic number.

10009345932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10009345932 is an abundant number, since it is smaller than the sum of its proper divisors (16237324336).

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

10009345932 is an frugal number, since it uses more digits than its factorization.

10009345932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 10009345932 in words is "ten billion, nine million, three hundred forty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3209 6418 9627 12836 19254 28881 38508 57762 86643 115524 173286 259929 346572 519858 779787 1039716 1559574 3119148 10297681 20595362 30893043 41190724 61786086 92679129 123572172 185358258 278037387 370716516 556074774 834112161 1112149548 1668224322 2502336483 3336448644 5004672966 10009345932