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2126946450 = 2352195711307
BaseRepresentation
bin111111011000110…
…1010000010010010
312111020020002000110
41332301222002102
513323444241300
6551015502150
7103464514026
oct17661520222
95436202013
102126946450
119a1673392
124b4387956
1327b863cc5
141626a2386
15c6adb550
hex7ec6a092

2126946450 has 96 divisors (see below), whose sum is σ = 5566429440. Its totient is φ = 535982400.

The previous prime is 2126946433. The next prime is 2126946461. The reversal of 2126946450 is 546496212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2126946399 and 2126946408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626697 + ... + 1628003.

It is an arithmetic number, because the mean of its divisors is an integer number (57983640).

Almost surely, 22126946450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126946450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783214720).

2126946450 is an abundant number, since it is smaller than the sum of its proper divisors (3439482990).

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

2126946450 is a wasteful number, since it uses less digits than its factorization.

2126946450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2126946450 is about 46118.8296685855. The cubic root of 2126946450 is about 1286.0332144440.

The spelling of 2126946450 in words is "two billion, one hundred twenty-six million, nine hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 571 950 1142 1307 1425 1713 2614 2850 2855 3426 3921 5710 6535 7842 8565 10849 13070 14275 17130 19605 21698 24833 28550 32547 32675 39210 42825 49666 54245 65094 65350 74499 85650 98025 108490 124165 148998 162735 196050 248330 271225 325470 372495 542450 620825 744990 746297 813675 1241650 1492594 1627350 1862475 2238891 3724950 3731485 4477782 7462970 11194455 14179643 18657425 22388910 28359286 37314850 42538929 55972275 70898215 85077858 111944550 141796430 212694645 354491075 425389290 708982150 1063473225 2126946450