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21148385202 = 2337223573391
BaseRepresentation
bin10011101100100010…
…101011111110110010
32000120212102021121000
4103230202223332302
5321302441311302
613414311142430
71346035210500
oct235442537662
960525367530
1021148385202
118a727918aa
124122674a16
131cc05999c9
141048a1b670
1583b9ad31c
hex4ec8abfb2

21148385202 has 96 divisors (see below), whose sum is σ = 54708618240. Its totient is φ = 6038051040.

The previous prime is 21148385201. The next prime is 21148385239. The reversal of 21148385202 is 20258384112.

It is a happy number.

21148385202 is a `hidden beast` number, since 211 + 48 + 385 + 20 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21148385201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6234927 + ... + 6238317.

It is an arithmetic number, because the mean of its divisors is an integer number (569881440).

Almost surely, 221148385202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21148385202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27354309120).

21148385202 is an abundant number, since it is smaller than the sum of its proper divisors (33560233038).

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

21148385202 is a wasteful number, since it uses less digits than its factorization.

21148385202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21148385202 in words is "twenty-one billion, one hundred forty-eight million, three hundred eighty-five thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2357 2646 3391 4714 6782 7071 10173 14142 16499 20346 21213 23737 30519 32998 42426 47474 49497 61038 63639 71211 91557 98994 115493 127278 142422 148491 166159 183114 213633 230986 296982 332318 346479 427266 445473 498477 640899 692958 890946 996954 1039437 1281798 1495431 2078874 2990862 3118311 4486293 6236622 7992587 8972586 15985174 23977761 47955522 55948109 71933283 111896218 143866566 167844327 215799849 335688654 391636763 431599698 503532981 783273526 1007065962 1174910289 1510598943 2349820578 3021197886 3524730867 7049461734 10574192601 21148385202