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2119159296 = 29322711697
BaseRepresentation
bin111111001001111…
…1100111000000000
312110200120110001100
41332103330320000
513320001044141
6550140534400
7103341361662
oct17623747000
95420513040
102119159296
11998234821
124b1851400
1327a068717
14161636532
15c609e0b6
hex7e4fce00

2119159296 has 120 divisors (see below), whose sum is σ = 6142222944. Its totient is φ = 703365120.

The previous prime is 2119159283. The next prime is 2119159307. The reversal of 2119159296 is 6929519112.

It is a super-2 number, since 2×21191592962 = 8981672243646431232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247920 + ... + 1249616.

Almost surely, 22119159296 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 2119159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071111472).

2119159296 is an abundant number, since it is smaller than the sum of its proper divisors (4023063648).

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

2119159296 is a wasteful number, since it uses less digits than its factorization.

2119159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1973 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The square root of 2119159296 is about 46034.3273655649. The cubic root of 2119159296 is about 1284.4618247306.

The spelling of 2119159296 in words is "two billion, one hundred nineteen million, one hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 512 542 576 768 813 1084 1152 1536 1626 1697 2168 2304 2439 3252 3394 4336 4608 4878 5091 6504 6788 8672 9756 10182 13008 13576 15273 17344 19512 20364 26016 27152 30546 34688 39024 40728 52032 54304 61092 69376 78048 81456 104064 108608 122184 138752 156096 162912 208128 217216 244368 312192 325824 416256 434432 459887 488736 624384 651648 868864 919774 977472 1248768 1303296 1379661 1839548 1954944 2606592 2759322 3679096 3909888 4138983 5518644 7358192 7819776 8277966 11037288 14716384 16555932 22074576 29432768 33111864 44149152 58865536 66223728 88298304 117731072 132447456 176596608 235462144 264894912 353193216 529789824 706386432 1059579648 2119159296