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2029746096 = 2432710119937
BaseRepresentation
bin111100011111011…
…0111011110110000
312020110022210012100
41320332313132300
513124103333341
6533224300400
7101204362050
oct17076673660
95213283170
102029746096
11951814314
12487911700
132646908c1
141537dd560
15bd2db3b6
hex78fb77b0

2029746096 has 120 divisors (see below), whose sum is σ = 6556571424. Its totient is φ = 574156800.

The previous prime is 2029746053. The next prime is 2029746101. The reversal of 2029746096 is 6906479202.

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, 91840 + ... + 111776.

Almost surely, 22029746096 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 2029746096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278285712).

2029746096 is an abundant number, since it is smaller than the sum of its proper divisors (4526825328).

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

2029746096 is a wasteful number, since it uses less digits than its factorization.

2029746096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20059 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2029746096 is about 45052.7035370798. The cubic root of 2029746096 is about 1266.1366248933.

It can be divided in two parts, 20 and 29746096, that added together give a square (29746116 = 54542).

The spelling of 2029746096 in words is "two billion, twenty-nine million, seven hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 19937 25452 33936 39874 50904 59811 79748 101808 119622 139559 159496 179433 239244 279118 318992 358866 418677 478488 558236 717732 837354 956976 1116472 1256031 1435464 1674708 2013637 2232944 2512062 2870928 3349416 4027274 5024124 6040911 6698832 8054548 10048248 12081822 14095459 16109096 18122733 20096496 24163644 28190918 32218192 36245466 42286377 48327288 56381836 72490932 84572754 96654576 112763672 126859131 144981864 169145508 225527344 253718262 289963728 338291016 507436524 676582032 1014873048 2029746096