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2125937424 = 2431315232237
BaseRepresentation
bin111111010110111…
…0011101100010000
312111011022210220010
41332231303230100
513323214444144
6550542114520
7103453112202
oct17655635420
95434283803
102125937424
119a1044286
124b3b7ba40
1327b59c950
141624bc772
15c698c5b9
hex7eb73b10

2125937424 has 80 divisors (see below), whose sum is σ = 5920996032. Its totient is φ = 653412864.

The previous prime is 2125937389. The next prime is 2125937441. The reversal of 2125937424 is 4247395212.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 949234 + ... + 951470.

Almost surely, 22125937424 is an apocalyptic number.

2125937424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125937424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960498016).

2125937424 is an abundant number, since it is smaller than the sum of its proper divisors (3795058608).

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

2125937424 is a wasteful number, since it uses less digits than its factorization.

2125937424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 2125937424 is about 46107.8889562296. Note that the first 3 decimals coincide. The cubic root of 2125937424 is about 1285.8298170328.

The spelling of 2125937424 in words is "two billion, one hundred twenty-five million, nine hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1523 2237 3046 4474 4569 6092 6711 8948 9138 12184 13422 17896 18276 19799 24368 26844 29081 35792 36552 39598 53688 58162 59397 73104 79196 87243 107376 116324 118794 158392 174486 232648 237588 316784 348972 465296 475176 697944 950352 1395888 3406951 6813902 10220853 13627804 20441706 27255608 40883412 44290363 54511216 81766824 88580726 132871089 163533648 177161452 265742178 354322904 531484356 708645808 1062968712 2125937424