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21198407652 = 223217223155327
BaseRepresentation
bin10011101111100001…
…100000011111100100
32000201100112200111100
4103233201200133210
5321403243021102
613423255240100
71350213330522
oct235741403744
960640480440
1021198407652
118a98a48474
124137379030
131ccaa623a6
14105151d312
1584108ea1c
hex4ef8607e4

21198407652 has 72 divisors (see below), whose sum is σ = 56991707136. Its totient is φ = 6620615424.

The previous prime is 21198407651. The next prime is 21198407663. The reversal of 21198407652 is 25670489112.

21198407652 is a `hidden beast` number, since 2 + 1 + 198 + 407 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21198407598 and 21198407607.

It is not an unprimeable number, because it can be changed into a prime (21198407651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58813 + ... + 214139.

It is an arithmetic number, because the mean of its divisors is an integer number (791551488).

Almost surely, 221198407652 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 21198407652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28495853568).

21198407652 is an abundant number, since it is smaller than the sum of its proper divisors (35793299484).

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

21198407652 is a wasteful number, since it uses less digits than its factorization.

21198407652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155577 (or 155572 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 21198407652 in words is "twenty-one billion, one hundred ninety-eight million, four hundred seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 223 306 446 612 669 892 1338 2007 2676 3791 4014 7582 8028 11373 15164 22746 34119 45492 68238 136476 155327 310654 465981 621308 931962 1397943 1863924 2640559 2795886 5281118 5591772 7921677 10562236 15843354 23765031 31686708 34637921 47530062 69275842 95060124 103913763 138551684 207827526 311741289 415655052 588844657 623482578 1177689314 1246965156 1766533971 2355378628 3533067942 5299601913 7066135884 10599203826 21198407652