Search a number
-
+
2031551968 = 254171113193
BaseRepresentation
bin111100100010111…
…0000010111100000
312020120201112101111
41321011300113200
513130034130333
6533331113104
7101225623015
oct17105602740
95216645344
102031551968
11952838076
12488442794
13264b73874
14153b4d70c
15bd5464cd
hex791705e0

2031551968 has 96 divisors (see below), whose sum is σ = 4213363392. Its totient is φ = 963379200.

The previous prime is 2031551947. The next prime is 2031551971. The reversal of 2031551968 is 8691551302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031551968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10526080 + ... + 10526272.

It is an arithmetic number, because the mean of its divisors is an integer number (43889202).

Almost surely, 22031551968 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 2031551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106681696).

2031551968 is an abundant number, since it is smaller than the sum of its proper divisors (2181811424).

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

2031551968 is a wasteful number, since it uses less digits than its factorization.

2031551968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 2031551968 is about 45072.7408529812. The cubic root of 2031551968 is about 1266.5120089413.

The spelling of 2031551968 in words is "two billion, thirty-one million, five hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 71 82 113 142 164 193 226 284 328 386 452 568 656 772 904 1136 1312 1544 1808 2272 2911 3088 3616 4633 5822 6176 7913 8023 9266 11644 13703 15826 16046 18532 21809 23288 27406 31652 32092 37064 43618 46576 54812 63304 64184 74128 87236 93152 109624 126608 128368 148256 174472 219248 253216 256736 328943 348944 438496 561823 657886 697888 894169 1123646 1315772 1548439 1788338 2247292 2631544 3096878 3576676 4494584 5263088 6193756 7153352 8989168 10526176 12387512 14306704 17978336 24775024 28613408 49550048 63485999 126971998 253943996 507887992 1015775984 2031551968