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202004000442 = 23335956918313
BaseRepresentation
bin1011110000100001100…
…0000110111010111010
3201022102000011110022000
42330020120012322322
511302201011003232
6232444354441430
720410563446616
oct2741030067272
9638360143260
10202004000442
117873aaa0412
1233196893276
131608356735a
149ac42dc346
1553c437727c
hex2f08606eba

202004000442 has 64 divisors (see below), whose sum is σ = 450963936000. Its totient is φ = 67025435904.

The previous prime is 202004000417. The next prime is 202004000477. The reversal of 202004000442 is 244000400202.

202004000442 is a `hidden beast` number, since 20 + 200 + 4 + 0 + 0 + 0 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11021478 + ... + 11039790.

It is an arithmetic number, because the mean of its divisors is an integer number (7046311500).

Almost surely, 2202004000442 is an apocalyptic number.

202004000442 is an abundant number, since it is smaller than the sum of its proper divisors (248959935558).

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

202004000442 is a wasteful number, since it uses less digits than its factorization.

202004000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19252 (or 19246 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 202004000442 its reverse (244000400202), we get a palindrome (446004400644).

The spelling of 202004000442 in words is "two hundred two billion, four million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 359 569 718 1077 1138 1707 2154 3231 3414 5121 6462 9693 10242 15363 18313 19386 30726 36626 54939 109878 164817 204271 329634 408542 494451 612813 988902 1225626 1838439 3676878 5515317 6574367 10420097 11030634 13148734 19723101 20840194 31260291 39446202 59169303 62520582 93780873 118338606 177507909 187561746 281342619 355015818 562685238 3740814823 7481629646 11222444469 22444888938 33667333407 67334666814 101002000221 202004000442