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2125947480 = 233537212941
BaseRepresentation
bin111111010110111…
…0110001001011000
312111011100022200120
41332231312021120
513323220304410
6550542233240
7103453153416
oct17655661130
95434308616
102125947480
119a1050898
124b3b85820
1327b5a43b7
141624c22b6
15c6990570
hex7eb76258

2125947480 has 96 divisors (see below), whose sum is σ = 6555381840. Its totient is φ = 551554560.

The previous prime is 2125947479. The next prime is 2125947493. The reversal of 2125947480 is 847495212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157810 + ... + 170750.

Almost surely, 22125947480 is an apocalyptic number.

2125947480 is a gapful number since it is divisible by the number (20) 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 2125947480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277690920).

2125947480 is an abundant number, since it is smaller than the sum of its proper divisors (4429434360).

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

2125947480 is a wasteful number, since it uses less digits than its factorization.

2125947480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13029 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2125947480 is about 46107.9980046846. The cubic root of 2125947480 is about 1285.8318444183.

The spelling of 2125947480 in words is "two billion, one hundred twenty-five million, nine hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1369 1480 2220 2738 4107 4440 5476 6845 8214 10952 12941 13690 16428 20535 25882 27380 32856 38823 41070 51764 54760 64705 77646 82140 103528 129410 155292 164280 194115 258820 310584 388230 478817 517640 776460 957634 1436451 1552920 1915268 2394085 2872902 3830536 4788170 5745804 7182255 9576340 11491608 14364510 17716229 19152680 28729020 35432458 53148687 57458040 70864916 88581145 106297374 141729832 177162290 212594748 265743435 354324580 425189496 531486870 708649160 1062973740 2125947480