Search a number
-
+
201023199984 = 24326315923891
BaseRepresentation
bin1011101100110111101…
…0101001101011110000
3201012212122121122000010
42323031322221223300
511243143414344414
6232203200454520
720344354002225
oct2731572515360
9635778548003
10201023199984
11782873a0522
1232b6231a440
1315c582c0159
149a2dd4b94c
1553681d9959
hex2ecdea9af0

201023199984 has 40 divisors (see below), whose sum is σ = 521284528512. Its totient is φ = 66752946880.

The previous prime is 201023199973. The next prime is 201023199991. The reversal of 201023199984 is 489991320102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7949322 + ... + 7974569.

Almost surely, 2201023199984 is an apocalyptic number.

201023199984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201023199984 is an abundant number, since it is smaller than the sum of its proper divisors (320261328528).

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

201023199984 is a wasteful number, since it uses less digits than its factorization.

201023199984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924165 (or 15924159 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 201023199984 in words is "two hundred one billion, twenty-three million, one hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 263 526 789 1052 1578 2104 3156 4208 6312 12624 15923891 31847782 47771673 63695564 95543346 127391128 191086692 254782256 382173384 764346768 4187983333 8375966666 12563949999 16751933332 25127899998 33503866664 50255799996 67007733328 100511599992 201023199984