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2146023648 = 2532231272551
BaseRepresentation
bin111111111101001…
…1011100011100000
312112120010022000100
41333322123203200
513343340224043
6552540422400
7104115620466
oct17772334340
95476108010
102146023648
11a0141336a
124ba847a00
132827b33a2
1416502a836
15c8608cd3
hex7fe9b8e0

2146023648 has 144 divisors (see below), whose sum is σ = 6420750336. Its totient is φ = 678585600.

The previous prime is 2146023623. The next prime is 2146023683. The reversal of 2146023648 is 8463206412.

2146023648 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 0 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839973 + ... + 842523.

It is an arithmetic number, because the mean of its divisors is an integer number (44588544).

Almost surely, 22146023648 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 2146023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210375168).

2146023648 is an abundant number, since it is smaller than the sum of its proper divisors (4274726688).

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

2146023648 is a wasteful number, since it uses less digits than its factorization.

2146023648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2146023648 is about 46325.1945273843. The cubic root of 2146023648 is about 1289.8667105838.

The spelling of 2146023648 in words is "two billion, one hundred forty-six million, twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 127 138 144 184 207 254 276 288 368 381 414 508 552 736 762 828 1016 1104 1143 1524 1656 2032 2208 2286 2551 2921 3048 3312 4064 4572 5102 5842 6096 6624 7653 8763 9144 10204 11684 12192 15306 17526 18288 20408 22959 23368 26289 30612 35052 36576 40816 45918 46736 52578 58673 61224 70104 81632 91836 93472 105156 117346 122448 140208 176019 183672 210312 234692 244896 280416 323977 352038 367344 420624 469384 528057 647954 704076 734688 841248 938768 971931 1056114 1295908 1408152 1877536 1943862 2112228 2591816 2816304 2915793 3887724 4224456 5183632 5632608 5831586 7451471 7775448 8448912 10367264 11663172 14902942 15550896 16897824 22354413 23326344 29805884 31101792 44708826 46652688 59611768 67063239 89417652 93305376 119223536 134126478 178835304 238447072 268252956 357670608 536505912 715341216 1073011824 2146023648