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2150446512 = 243293743971
BaseRepresentation
bin1000000000101101…
…0011010110110000
312112212110000001010
42000023103112300
513401003242022
6553215310520
7104201331234
oct20013232660
95485400033
102150446512
11a03964325
1250021b440
132836a1576
1416585c5c4
15c8bce50c
hex802d35b0

2150446512 has 160 divisors (see below), whose sum is σ = 6045684480. Its totient is φ = 657054720.

The previous prime is 2150446489. The next prime is 2150446513. The reversal of 2150446512 is 2156440512.

It is a super-2 number, since 2×21504465122 = 9248840401945932288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2150446512.

It is not an unprimeable number, because it can be changed into a prime (2150446513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214187 + ... + 2215157.

It is an arithmetic number, because the mean of its divisors is an integer number (37785528).

Almost surely, 22150446512 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 2150446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022842240).

2150446512 is an abundant number, since it is smaller than the sum of its proper divisors (3895237968).

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

2150446512 is a wasteful number, since it uses less digits than its factorization.

2150446512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2150446512 is about 46372.9070902397. The cubic root of 2150446512 is about 1290.7522227785.

The spelling of 2150446512 in words is "two billion, one hundred fifty million, four hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 43 48 58 74 86 87 111 116 129 148 172 174 222 232 258 296 344 348 444 464 516 592 688 696 888 971 1032 1073 1247 1392 1591 1776 1942 2064 2146 2494 2913 3182 3219 3741 3884 4292 4773 4988 5826 6364 6438 7482 7768 8584 9546 9976 11652 12728 12876 14964 15536 17168 19092 19952 23304 25456 25752 28159 29928 35927 38184 41753 46139 46608 51504 56318 59856 71854 76368 83506 84477 92278 107781 112636 125259 138417 143708 167012 168954 184556 215562 225272 250518 276834 287416 334024 337908 369112 431124 450544 501036 553668 574832 668048 675816 738224 862248 1002072 1041883 1107336 1210837 1351632 1544861 1724496 2004144 2083766 2214672 2421674 3089722 3125649 3632511 4167532 4634583 4843348 6179444 6251298 7265022 8335064 9269166 9686696 12358888 12502596 14530044 16670128 18538332 19373392 24717776 25005192 29060088 37076664 44800969 50010384 58120176 74153328 89601938 134402907 179203876 268805814 358407752 537611628 716815504 1075223256 2150446512