Search a number
-
+
21975501416 = 23117910692957
BaseRepresentation
bin10100011101110101…
…111000101001101000
32002201111210010201212
4110131311320221220
5330001212021131
614032335132252
71405400452151
oct243565705150
962644703655
1021975501416
119357663520
124313674088
1320c2a5509b
1410c6804928
158893dea2b
hex51dd78a68

21975501416 has 64 divisors (see below), whose sum is σ = 45576864000. Its totient is φ = 9849864960.

The previous prime is 21975501397. The next prime is 21975501421. The reversal of 21975501416 is 61410557912.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7430210 + ... + 7433166.

It is an arithmetic number, because the mean of its divisors is an integer number (712138500).

Almost surely, 221975501416 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 21975501416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788432000).

21975501416 is an abundant number, since it is smaller than the sum of its proper divisors (23601362584).

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

21975501416 is a wasteful number, since it uses less digits than its factorization.

21975501416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 21975501416 in words is "twenty-one billion, nine hundred seventy-five million, five hundred one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1069 1738 2138 2957 3476 4276 5914 6952 8552 11759 11828 23518 23656 32527 47036 65054 84451 94072 130108 168902 233603 260216 337804 467206 675608 928961 934412 1857922 1868824 2569633 3161033 3715844 5139266 6322066 7431688 10278532 12644132 20557064 25288264 34771363 69542726 139085452 249721607 278170904 499443214 998886428 1997772856 2746937677 5493875354 10987750708 21975501416