Search a number
-
+
21414896832 = 263715933703
BaseRepresentation
bin10011111100011011…
…010110010011000000
32001021102220110211010
4103330123112103000
5322324203144312
613500551320520
71355452422360
oct237433262300
961242813733
1021414896832
11909a172a4a
124197980140
132033870ab4
1410721949a0
158550a493c
hex4fc6d64c0

21414896832 has 56 divisors (see below), whose sum is σ = 64754573056. Its totient is φ = 6118541568.

The previous prime is 21414896831. The next prime is 21414896857. The reversal of 21414896832 is 23869841412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×214148968323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21414896831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7965508 + ... + 7968195.

Almost surely, 221414896832 is an apocalyptic number.

It is an amenable number.

21414896832 is an abundant number, since it is smaller than the sum of its proper divisors (43339676224).

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

21414896832 is a wasteful number, since it uses less digits than its factorization.

21414896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933725 (or 15933715 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 21414896832 in words is "twenty-one billion, four hundred fourteen million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15933703 31867406 47801109 63734812 95602218 111535921 127469624 191204436 223071842 254939248 334607763 382408872 446143684 509878496 669215526 764817744 892287368 1019756992 1338431052 1529635488 1784574736 2676862104 3059270976 3569149472 5353724208 7138298944 10707448416 21414896832