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2427161696 = 25617183211
BaseRepresentation
bin1001000010101011…
…1000110001100000
320021011010120220122
42100222320301200
514432323133241
61040502255412
7114101351111
oct22052706140
96234116818
102427161696
111036084563
12578a27568
132c8b08a6b
141904d0208
15e313e04b
hex90ab8c60

2427161696 has 96 divisors (see below), whose sum is σ = 5008179456. Its totient is φ = 1157184000.

The previous prime is 2427161683. The next prime is 2427161729. The reversal of 2427161696 is 6961617242.

It is a super-2 number, since 2×24271616962 = 11782227797059192832, 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 15 ways as a sum of consecutive naturals, for example, 11503031 + ... + 11503241.

It is an arithmetic number, because the mean of its divisors is an integer number (52168536).

Almost surely, 22427161696 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 2427161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504089728).

2427161696 is an abundant number, since it is smaller than the sum of its proper divisors (2581017760).

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

2427161696 is a wasteful number, since it uses less digits than its factorization.

2427161696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 2427161696 is about 49266.2328172147. The cubic root of 2427161696 is about 1343.8977801603.

The spelling of 2427161696 in words is "two billion, four hundred twenty-seven million, one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 71 83 122 142 166 211 244 284 332 422 488 568 664 844 976 1136 1328 1688 1952 2272 2656 3376 4331 5063 5893 6752 8662 10126 11786 12871 14981 17324 17513 20252 23572 25742 29962 34648 35026 40504 47144 51484 59924 69296 70052 81008 94288 102968 119848 138592 140104 162016 188576 205936 239696 280208 359473 411872 479392 560416 718946 913841 1068293 1243423 1437892 1827682 2136586 2486846 2875784 3655364 4273172 4973692 5751568 7310728 8546344 9947384 11503136 14621456 17092688 19894768 29242912 34185376 39789536 75848803 151697606 303395212 606790424 1213580848 2427161696