Search a number
-
+
2124362496 = 28359173271
BaseRepresentation
bin111111010011111…
…0011001100000000
312111001100210111110
41332213303030000
513322314044441
6550444243320
7103433532444
oct17647631400
95431323443
102124362496
119a0168a93
124b3540540
1327b16ab39
141621cc824
15c677ab16
hex7e9f3300

2124362496 has 144 divisors (see below), whose sum is σ = 5804305920. Its totient is φ = 689541120.

The previous prime is 2124362473. The next prime is 2124362509. The reversal of 2124362496 is 6942634212.

It is a super-2 number, since 2×21243624962 = 9025832028822700032, which contains 22 as substring.

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, 7838841 + ... + 7839111.

It is an arithmetic number, because the mean of its divisors is an integer number (40307680).

Almost surely, 22124362496 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 2124362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902152960).

2124362496 is an abundant number, since it is smaller than the sum of its proper divisors (3679943424).

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

2124362496 is a wasteful number, since it uses less digits than its factorization.

2124362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 2124362496 is about 46090.8070660517. The cubic root of 2124362496 is about 1285.5122175842.

The spelling of 2124362496 in words is "two billion, one hundred twenty-four million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 173 177 192 236 256 271 346 354 384 472 519 542 692 708 768 813 944 1038 1084 1384 1416 1626 1888 2076 2168 2768 2832 3252 3776 4152 4336 5536 5664 6504 7552 8304 8672 10207 11072 11328 13008 15104 15989 16608 17344 20414 22144 22656 26016 30621 31978 33216 34688 40828 44288 45312 46883 47967 52032 61242 63956 66432 69376 81656 93766 95934 104064 122484 127912 132864 140649 163312 187532 191868 208128 244968 255824 281298 326624 375064 383736 489936 511648 562596 653248 750128 767472 979872 1023296 1125192 1306496 1500256 1534944 1959744 2046592 2250384 2612992 2766097 3000512 3069888 3919488 4093184 4500768 5532194 6001024 6139776 7838976 8298291 9001536 11064388 12002048 12279552 16596582 18003072 22128776 33193164 36006144 44257552 66386328 88515104 132772656 177030208 265545312 354060416 531090624 708120832 1062181248 2124362496