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198270186136 = 231131127572281
BaseRepresentation
bin1011100010100111010…
…0101111001010011000
3200221202210100000222021
42320221310233022120
511222024131424021
6231030054104224
720216214526621
oct2705164571230
9627683300867
10198270186136
11770a4395470
123251434b074
1315909b34589
14984c478a48
155256681c41
hex2e29d2f298

198270186136 has 64 divisors (see below), whose sum is σ = 421932072960. Its totient is φ = 86528736000.

The previous prime is 198270186083. The next prime is 198270186161. The reversal of 198270186136 is 631681072891.

198270186136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1982701861362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60316 + ... + 632596.

It is an arithmetic number, because the mean of its divisors is an integer number (6592688640).

Almost surely, 2198270186136 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 198270186136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210966036480).

198270186136 is an abundant number, since it is smaller than the sum of its proper divisors (223661886824).

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

198270186136 is a wasteful number, since it uses less digits than its factorization.

198270186136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572456 (or 572452 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 198270186136 in words is "one hundred ninety-eight billion, two hundred seventy million, one hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 127 248 254 341 508 682 1016 1364 1397 2728 2794 3937 5588 7874 11176 15748 31496 43307 86614 173228 346456 572281 1144562 2289124 4578248 6295091 12590182 17740711 25180364 35481422 50360728 70962844 72679687 141925688 145359374 195147821 290718748 390295642 581437496 780591284 799476557 1561182568 1598953114 2253070297 3197906228 4506140594 6395812456 9012281188 18024562376 24783773267 49567546534 99135093068 198270186136